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Finding the Fourth Proportional to 951.68, 1,427.56 and 403.76

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Solution

The fourth proportional to 951.68, 1,427.56 and 403.76 is: 605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.68 : 1,427.56 = 403.76 : x
  2. Step 2: Convert to fraction form
    951.68/1,427.56 = 403.76/x
  3. Step 3: Cross multiply
    951.68x = 1,427.56 × 403.76
  4. Step 4: Simplify right side
    951.68x = 576,391.63
  5. Step 5: Solve for x
    x = 576,391.63/951.68
  6. Step 6: Final answer
    x = 605.66

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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.