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Finding the Fourth Proportional to 766.82, 1,151.21 and 638.39

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Solution

The fourth proportional to 766.82, 1,151.21 and 638.39 is: 958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.82 : 1,151.21 = 638.39 : x
  2. Step 2: Convert to fraction form
    766.82/1,151.21 = 638.39/x
  3. Step 3: Cross multiply
    766.82x = 1,151.21 × 638.39
  4. Step 4: Simplify right side
    766.82x = 734,925.43
  5. Step 5: Solve for x
    x = 734,925.43/766.82
  6. Step 6: Final answer
    x = 958.40

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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.