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Finding the Fourth Proportional to 861.31, 1,292.60 and 422.47

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Solution

The fourth proportional to 861.31, 1,292.60 and 422.47 is: 634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.31 : 1,292.60 = 422.47 : x
  2. Step 2: Convert to fraction form
    861.31/1,292.60 = 422.47/x
  3. Step 3: Cross multiply
    861.31x = 1,292.60 × 422.47
  4. Step 4: Simplify right side
    861.31x = 546,084.72
  5. Step 5: Solve for x
    x = 546,084.72/861.31
  6. Step 6: Final answer
    x = 634.02

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1.5x scale

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.