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Finding the Fourth Proportional to 956.18, 1,432.89 and 408.21

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Solution

The fourth proportional to 956.18, 1,432.89 and 408.21 is: 611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.18 : 1,432.89 = 408.21 : x
  2. Step 2: Convert to fraction form
    956.18/1,432.89 = 408.21/x
  3. Step 3: Cross multiply
    956.18x = 1,432.89 × 408.21
  4. Step 4: Simplify right side
    956.18x = 584,920.03
  5. Step 5: Solve for x
    x = 584,920.03/956.18
  6. Step 6: Final answer
    x = 611.73

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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.