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Finding the Fourth Proportional to 951.58, 1,427.68 and 431.52

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Solution

The fourth proportional to 951.58, 1,427.68 and 431.52 is: 647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.58 : 1,427.68 = 431.52 : x
  2. Step 2: Convert to fraction form
    951.58/1,427.68 = 431.52/x
  3. Step 3: Cross multiply
    951.58x = 1,427.68 × 431.52
  4. Step 4: Simplify right side
    951.58x = 616,072.47
  5. Step 5: Solve for x
    x = 616,072.47/951.58
  6. Step 6: Final answer
    x = 647.42

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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.