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Finding the Fourth Proportional to 562.27, 776.24 and 387.85

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Solution

The fourth proportional to 562.27, 776.24 and 387.85 is: 535.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.27 : 776.24 = 387.85 : x
  2. Step 2: Convert to fraction form
    562.27/776.24 = 387.85/x
  3. Step 3: Cross multiply
    562.27x = 776.24 × 387.85
  4. Step 4: Simplify right side
    562.27x = 301,064.68
  5. Step 5: Solve for x
    x = 301,064.68/562.27
  6. Step 6: Final answer
    x = 535.45

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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.