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Finding the Fourth Proportional to 951.55, 1,426.64 and 458.05

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Solution

The fourth proportional to 951.55, 1,426.64 and 458.05 is: 686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.55 : 1,426.64 = 458.05 : x
  2. Step 2: Convert to fraction form
    951.55/1,426.64 = 458.05/x
  3. Step 3: Cross multiply
    951.55x = 1,426.64 × 458.05
  4. Step 4: Simplify right side
    951.55x = 653,472.45
  5. Step 5: Solve for x
    x = 653,472.45/951.55
  6. Step 6: Final answer
    x = 686.75

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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.