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Finding the Fourth Proportional to 562.91, 776.87 and 314.24

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Solution

The fourth proportional to 562.91, 776.87 and 314.24 is: 433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.91 : 776.87 = 314.24 : x
  2. Step 2: Convert to fraction form
    562.91/776.87 = 314.24/x
  3. Step 3: Cross multiply
    562.91x = 776.87 × 314.24
  4. Step 4: Simplify right side
    562.91x = 244,123.63
  5. Step 5: Solve for x
    x = 244,123.63/562.91
  6. Step 6: Final answer
    x = 433.68

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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.