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Finding the Fourth Proportional to 887.52, 1,331.34 and 646.92

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Solution

The fourth proportional to 887.52, 1,331.34 and 646.92 is: 970.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.52 : 1,331.34 = 646.92 : x
  2. Step 2: Convert to fraction form
    887.52/1,331.34 = 646.92/x
  3. Step 3: Cross multiply
    887.52x = 1,331.34 × 646.92
  4. Step 4: Simplify right side
    887.52x = 861,270.47
  5. Step 5: Solve for x
    x = 861,270.47/887.52
  6. Step 6: Final answer
    x = 970.42

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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.