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Finding the Fourth Proportional to 458.61, 689.42 and 424.78

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Solution

The fourth proportional to 458.61, 689.42 and 424.78 is: 638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.61 : 689.42 = 424.78 : x
  2. Step 2: Convert to fraction form
    458.61/689.42 = 424.78/x
  3. Step 3: Cross multiply
    458.61x = 689.42 × 424.78
  4. Step 4: Simplify right side
    458.61x = 292,851.83
  5. Step 5: Solve for x
    x = 292,851.83/458.61
  6. Step 6: Final answer
    x = 638.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.