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Finding the Fourth Proportional to 658.70, 986.75 and 397.93

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Solution

The fourth proportional to 658.70, 986.75 and 397.93 is: 596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.70 : 986.75 = 397.93 : x
  2. Step 2: Convert to fraction form
    658.70/986.75 = 397.93/x
  3. Step 3: Cross multiply
    658.70x = 986.75 × 397.93
  4. Step 4: Simplify right side
    658.70x = 392,650.50
  5. Step 5: Solve for x
    x = 392,650.50/658.70
  6. Step 6: Final answer
    x = 596.10

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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.