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Finding the Fourth Proportional to 948.74, 1,423.02 and 642.56

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Solution

The fourth proportional to 948.74, 1,423.02 and 642.56 is: 963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.74 : 1,423.02 = 642.56 : x
  2. Step 2: Convert to fraction form
    948.74/1,423.02 = 642.56/x
  3. Step 3: Cross multiply
    948.74x = 1,423.02 × 642.56
  4. Step 4: Simplify right side
    948.74x = 914,375.73
  5. Step 5: Solve for x
    x = 914,375.73/948.74
  6. Step 6: Final answer
    x = 963.78

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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.