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Finding the Fourth Proportional to 956.87, 1,432.29 and 658.62

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Solution

The fourth proportional to 956.87, 1,432.29 and 658.62 is: 985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.87 : 1,432.29 = 658.62 : x
  2. Step 2: Convert to fraction form
    956.87/1,432.29 = 658.62/x
  3. Step 3: Cross multiply
    956.87x = 1,432.29 × 658.62
  4. Step 4: Simplify right side
    956.87x = 943,334.84
  5. Step 5: Solve for x
    x = 943,334.84/956.87
  6. Step 6: Final answer
    x = 985.86

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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.