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Finding the Fourth Proportional to 955.57, 1,432.82 and 517.34

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Solution

The fourth proportional to 955.57, 1,432.82 and 517.34 is: 775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.57 : 1,432.82 = 517.34 : x
  2. Step 2: Convert to fraction form
    955.57/1,432.82 = 517.34/x
  3. Step 3: Cross multiply
    955.57x = 1,432.82 × 517.34
  4. Step 4: Simplify right side
    955.57x = 741,255.10
  5. Step 5: Solve for x
    x = 741,255.10/955.57
  6. Step 6: Final answer
    x = 775.72

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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.