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Finding the Fourth Proportional to 807.38, 1,211.22 and 461.11

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Solution

The fourth proportional to 807.38, 1,211.22 and 461.11 is: 691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.38 : 1,211.22 = 461.11 : x
  2. Step 2: Convert to fraction form
    807.38/1,211.22 = 461.11/x
  3. Step 3: Cross multiply
    807.38x = 1,211.22 × 461.11
  4. Step 4: Simplify right side
    807.38x = 558,499.60
  5. Step 5: Solve for x
    x = 558,499.60/807.38
  6. Step 6: Final answer
    x = 691.74

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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.