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Finding the Fourth Proportional to 1,116.76, 1,539.74 and 906.16

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Solution

The fourth proportional to 1,116.76, 1,539.74 and 906.16 is: 1,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.76 : 1,539.74 = 906.16 : x
  2. Step 2: Convert to fraction form
    1,116.76/1,539.74 = 906.16/x
  3. Step 3: Cross multiply
    1,116.76x = 1,539.74 × 906.16
  4. Step 4: Simplify right side
    1,116.76x = 1,395,250.80
  5. Step 5: Solve for x
    x = 1,395,250.80/1,116.76
  6. Step 6: Final answer
    x = 1,249.37

Related Problems

Find fourth proportional to 558.38, 769.87 and 453.08
Half scale
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Double scale
Find fourth proportional to 1,117.76, 1,541.12 and 907.16
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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.