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Finding the Fourth Proportional to 1,062.52, 1,589.22 and 885.74

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Solution

The fourth proportional to 1,062.52, 1,589.22 and 885.74 is: 1,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.52 : 1,589.22 = 885.74 : x
  2. Step 2: Convert to fraction form
    1,062.52/1,589.22 = 885.74/x
  3. Step 3: Cross multiply
    1,062.52x = 1,589.22 × 885.74
  4. Step 4: Simplify right side
    1,062.52x = 1,407,627.78
  5. Step 5: Solve for x
    x = 1,407,627.78/1,062.52
  6. Step 6: Final answer
    x = 1,324.80

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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.