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Finding the Fourth Proportional to 1,116.75, 1,540.06 and 743.09

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Solution

The fourth proportional to 1,116.75, 1,540.06 and 743.09 is: 1,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.75 : 1,540.06 = 743.09 : x
  2. Step 2: Convert to fraction form
    1,116.75/1,540.06 = 743.09/x
  3. Step 3: Cross multiply
    1,116.75x = 1,540.06 × 743.09
  4. Step 4: Simplify right side
    1,116.75x = 1,144,393.63
  5. Step 5: Solve for x
    x = 1,144,393.63/1,116.75
  6. Step 6: Final answer
    x = 1,024.75

Related Problems

Find fourth proportional to 558.38, 770.03 and 371.54
Half scale
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Double scale
Find fourth proportional to 1,117.75, 1,541.44 and 744.09
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.