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Finding the Fourth Proportional to 462.54, 638.76 and 429.78

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Solution

The fourth proportional to 462.54, 638.76 and 429.78 is: 593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.54 : 638.76 = 429.78 : x
  2. Step 2: Convert to fraction form
    462.54/638.76 = 429.78/x
  3. Step 3: Cross multiply
    462.54x = 638.76 × 429.78
  4. Step 4: Simplify right side
    462.54x = 274,526.27
  5. Step 5: Solve for x
    x = 274,526.27/462.54
  6. Step 6: Final answer
    x = 593.52

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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.