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Finding the Fourth Proportional to 514.47, 772.76 and 500.79

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Solution

The fourth proportional to 514.47, 772.76 and 500.79 is: 752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.47 : 772.76 = 500.79 : x
  2. Step 2: Convert to fraction form
    514.47/772.76 = 500.79/x
  3. Step 3: Cross multiply
    514.47x = 772.76 × 500.79
  4. Step 4: Simplify right side
    514.47x = 386,990.48
  5. Step 5: Solve for x
    x = 386,990.48/514.47
  6. Step 6: Final answer
    x = 752.21

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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.