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Finding the Fourth Proportional to 562.69, 772.38 and 499.13

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Solution

The fourth proportional to 562.69, 772.38 and 499.13 is: 685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.69 : 772.38 = 499.13 : x
  2. Step 2: Convert to fraction form
    562.69/772.38 = 499.13/x
  3. Step 3: Cross multiply
    562.69x = 772.38 × 499.13
  4. Step 4: Simplify right side
    562.69x = 385,520.64
  5. Step 5: Solve for x
    x = 385,520.64/562.69
  6. Step 6: Final answer
    x = 685.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.