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Finding the Fourth Proportional to 562.15, 772.16 and 463.69

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Solution

The fourth proportional to 562.15, 772.16 and 463.69 is: 636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.15 : 772.16 = 463.69 : x
  2. Step 2: Convert to fraction form
    562.15/772.16 = 463.69/x
  3. Step 3: Cross multiply
    562.15x = 772.16 × 463.69
  4. Step 4: Simplify right side
    562.15x = 358,042.87
  5. Step 5: Solve for x
    x = 358,042.87/562.15
  6. Step 6: Final answer
    x = 636.92

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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.