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Finding the Fourth Proportional to 717.68, 990.42 and 560.50

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Solution

The fourth proportional to 717.68, 990.42 and 560.50 is: 773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.68 : 990.42 = 560.50 : x
  2. Step 2: Convert to fraction form
    717.68/990.42 = 560.50/x
  3. Step 3: Cross multiply
    717.68x = 990.42 × 560.50
  4. Step 4: Simplify right side
    717.68x = 555,125.83
  5. Step 5: Solve for x
    x = 555,125.83/717.68
  6. Step 6: Final answer
    x = 773.50

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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.