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Finding the Fourth Proportional to 658.20, 986.00 and 397.43

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Solution

The fourth proportional to 658.20, 986.00 and 397.43 is: 595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.20 : 986.00 = 397.43 : x
  2. Step 2: Convert to fraction form
    658.20/986.00 = 397.43/x
  3. Step 3: Cross multiply
    658.20x = 986.00 × 397.43
  4. Step 4: Simplify right side
    658.20x = 391,859.06
  5. Step 5: Solve for x
    x = 391,859.06/658.20
  6. Step 6: Final answer
    x = 595.35

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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.