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Finding the Fourth Proportional to 951.60, 1,311.82 and 619.90

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Solution

The fourth proportional to 951.60, 1,311.82 and 619.90 is: 854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.60 : 1,311.82 = 619.90 : x
  2. Step 2: Convert to fraction form
    951.60/1,311.82 = 619.90/x
  3. Step 3: Cross multiply
    951.60x = 1,311.82 × 619.90
  4. Step 4: Simplify right side
    951.60x = 813,197.22
  5. Step 5: Solve for x
    x = 813,197.22/951.60
  6. Step 6: Final answer
    x = 854.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.