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Finding the Fourth Proportional to 658.43, 985.31 and 484.68

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Solution

The fourth proportional to 658.43, 985.31 and 484.68 is: 725.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.43 : 985.31 = 484.68 : x
  2. Step 2: Convert to fraction form
    658.43/985.31 = 484.68/x
  3. Step 3: Cross multiply
    658.43x = 985.31 × 484.68
  4. Step 4: Simplify right side
    658.43x = 477,557.63
  5. Step 5: Solve for x
    x = 477,557.63/658.43
  6. Step 6: Final answer
    x = 725.30

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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.