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Finding the Fourth Proportional to 632.28, 873.24 and 424.92

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Solution

The fourth proportional to 632.28, 873.24 and 424.92 is: 586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.28 : 873.24 = 424.92 : x
  2. Step 2: Convert to fraction form
    632.28/873.24 = 424.92/x
  3. Step 3: Cross multiply
    632.28x = 873.24 × 424.92
  4. Step 4: Simplify right side
    632.28x = 371,057.14
  5. Step 5: Solve for x
    x = 371,057.14/632.28
  6. Step 6: Final answer
    x = 586.86

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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.