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Finding the Fourth Proportional to 1,118.36, 1,543.50 and 714.76

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Solution

The fourth proportional to 1,118.36, 1,543.50 and 714.76 is: 986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.36 : 1,543.50 = 714.76 : x
  2. Step 2: Convert to fraction form
    1,118.36/1,543.50 = 714.76/x
  3. Step 3: Cross multiply
    1,118.36x = 1,543.50 × 714.76
  4. Step 4: Simplify right side
    1,118.36x = 1,103,232.06
  5. Step 5: Solve for x
    x = 1,103,232.06/1,118.36
  6. Step 6: Final answer
    x = 986.47

Related Problems

Find fourth proportional to 559.18, 771.75 and 357.38
Half scale
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Double scale
Find fourth proportional to 1,119.36, 1,544.88 and 715.76
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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.