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Finding the Fourth Proportional to 713.46, 1,069.38 and 540.12

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Solution

The fourth proportional to 713.46, 1,069.38 and 540.12 is: 809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.46 : 1,069.38 = 540.12 : x
  2. Step 2: Convert to fraction form
    713.46/1,069.38 = 540.12/x
  3. Step 3: Cross multiply
    713.46x = 1,069.38 × 540.12
  4. Step 4: Simplify right side
    713.46x = 577,593.53
  5. Step 5: Solve for x
    x = 577,593.53/713.46
  6. Step 6: Final answer
    x = 809.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.