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Finding the Fourth Proportional to 951.07, 1,427.10 and 721.39

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Solution

The fourth proportional to 951.07, 1,427.10 and 721.39 is: 1,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.07 : 1,427.10 = 721.39 : x
  2. Step 2: Convert to fraction form
    951.07/1,427.10 = 721.39/x
  3. Step 3: Cross multiply
    951.07x = 1,427.10 × 721.39
  4. Step 4: Simplify right side
    951.07x = 1,029,495.67
  5. Step 5: Solve for x
    x = 1,029,495.67/951.07
  6. Step 6: Final answer
    x = 1,082.46

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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.