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Finding the Fourth Proportional to 864.57, 1,190.97 and 627.83

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Solution

The fourth proportional to 864.57, 1,190.97 and 627.83 is: 864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.57 : 1,190.97 = 627.83 : x
  2. Step 2: Convert to fraction form
    864.57/1,190.97 = 627.83/x
  3. Step 3: Cross multiply
    864.57x = 1,190.97 × 627.83
  4. Step 4: Simplify right side
    864.57x = 747,731.91
  5. Step 5: Solve for x
    x = 747,731.91/864.57
  6. Step 6: Final answer
    x = 864.86

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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.