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Finding the Fourth Proportional to 658.97, 988.15 and 385.14

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Solution

The fourth proportional to 658.97, 988.15 and 385.14 is: 577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.97 : 988.15 = 385.14 : x
  2. Step 2: Convert to fraction form
    658.97/988.15 = 385.14/x
  3. Step 3: Cross multiply
    658.97x = 988.15 × 385.14
  4. Step 4: Simplify right side
    658.97x = 380,574.17
  5. Step 5: Solve for x
    x = 380,574.17/658.97
  6. Step 6: Final answer
    x = 577.53

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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.