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Finding the Fourth Proportional to 768.92, 1,158.57 and 634.97

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Solution

The fourth proportional to 768.92, 1,158.57 and 634.97 is: 956.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.92 : 1,158.57 = 634.97 : x
  2. Step 2: Convert to fraction form
    768.92/1,158.57 = 634.97/x
  3. Step 3: Cross multiply
    768.92x = 1,158.57 × 634.97
  4. Step 4: Simplify right side
    768.92x = 735,657.19
  5. Step 5: Solve for x
    x = 735,657.19/768.92
  6. Step 6: Final answer
    x = 956.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.