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Finding the Fourth Proportional to 562.50, 774.36 and 502.38

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Solution

The fourth proportional to 562.50, 774.36 and 502.38 is: 691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.50 : 774.36 = 502.38 : x
  2. Step 2: Convert to fraction form
    562.50/774.36 = 502.38/x
  3. Step 3: Cross multiply
    562.50x = 774.36 × 502.38
  4. Step 4: Simplify right side
    562.50x = 389,022.98
  5. Step 5: Solve for x
    x = 389,022.98/562.50
  6. Step 6: Final answer
    x = 691.60

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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.