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Finding the Fourth Proportional to 811.62, 1,211.76 and 754.92

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Solution

The fourth proportional to 811.62, 1,211.76 and 754.92 is: 1,127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.62 : 1,211.76 = 754.92 : x
  2. Step 2: Convert to fraction form
    811.62/1,211.76 = 754.92/x
  3. Step 3: Cross multiply
    811.62x = 1,211.76 × 754.92
  4. Step 4: Simplify right side
    811.62x = 914,781.86
  5. Step 5: Solve for x
    x = 914,781.86/811.62
  6. Step 6: Final answer
    x = 1,127.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.