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Finding the Fourth Proportional to 861.47, 1,285.96 and 737.54

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Solution

The fourth proportional to 861.47, 1,285.96 and 737.54 is: 1,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.47 : 1,285.96 = 737.54 : x
  2. Step 2: Convert to fraction form
    861.47/1,285.96 = 737.54/x
  3. Step 3: Cross multiply
    861.47x = 1,285.96 × 737.54
  4. Step 4: Simplify right side
    861.47x = 948,446.94
  5. Step 5: Solve for x
    x = 948,446.94/861.47
  6. Step 6: Final answer
    x = 1,100.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.