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Finding the Fourth Proportional to 886.64, 1,329.97 and 424.31

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Solution

The fourth proportional to 886.64, 1,329.97 and 424.31 is: 636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.64 : 1,329.97 = 424.31 : x
  2. Step 2: Convert to fraction form
    886.64/1,329.97 = 424.31/x
  3. Step 3: Cross multiply
    886.64x = 1,329.97 × 424.31
  4. Step 4: Simplify right side
    886.64x = 564,319.57
  5. Step 5: Solve for x
    x = 564,319.57/886.64
  6. Step 6: Final answer
    x = 636.47

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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.