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Finding the Fourth Proportional to 951.80, 1,426.87 and 747.27

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Solution

The fourth proportional to 951.80, 1,426.87 and 747.27 is: 1,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.80 : 1,426.87 = 747.27 : x
  2. Step 2: Convert to fraction form
    951.80/1,426.87 = 747.27/x
  3. Step 3: Cross multiply
    951.80x = 1,426.87 × 747.27
  4. Step 4: Simplify right side
    951.80x = 1,066,257.14
  5. Step 5: Solve for x
    x = 1,066,257.14/951.80
  6. Step 6: Final answer
    x = 1,120.25

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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.