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Finding the Fourth Proportional to 951.45, 1,426.41 and 431.19

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Solution

The fourth proportional to 951.45, 1,426.41 and 431.19 is: 646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.45 : 1,426.41 = 431.19 : x
  2. Step 2: Convert to fraction form
    951.45/1,426.41 = 431.19/x
  3. Step 3: Cross multiply
    951.45x = 1,426.41 × 431.19
  4. Step 4: Simplify right side
    951.45x = 615,053.73
  5. Step 5: Solve for x
    x = 615,053.73/951.45
  6. Step 6: Final answer
    x = 646.44

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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.