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Finding the Fourth Proportional to 658.41, 986.32 and 593.61

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Solution

The fourth proportional to 658.41, 986.32 and 593.61 is: 889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.41 : 986.32 = 593.61 : x
  2. Step 2: Convert to fraction form
    658.41/986.32 = 593.61/x
  3. Step 3: Cross multiply
    658.41x = 986.32 × 593.61
  4. Step 4: Simplify right side
    658.41x = 585,489.42
  5. Step 5: Solve for x
    x = 585,489.42/658.41
  6. Step 6: Final answer
    x = 889.25

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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.