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Finding the Fourth Proportional to 951.74, 1,427.76 and 431.97

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Solution

The fourth proportional to 951.74, 1,427.76 and 431.97 is: 648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.74 : 1,427.76 = 431.97 : x
  2. Step 2: Convert to fraction form
    951.74/1,427.76 = 431.97/x
  3. Step 3: Cross multiply
    951.74x = 1,427.76 × 431.97
  4. Step 4: Simplify right side
    951.74x = 616,749.49
  5. Step 5: Solve for x
    x = 616,749.49/951.74
  6. Step 6: Final answer
    x = 648.03

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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.