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Finding the Fourth Proportional to 461.11, 691.24 and 276.07

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Solution

The fourth proportional to 461.11, 691.24 and 276.07 is: 413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.11 : 691.24 = 276.07 : x
  2. Step 2: Convert to fraction form
    461.11/691.24 = 276.07/x
  3. Step 3: Cross multiply
    461.11x = 691.24 × 276.07
  4. Step 4: Simplify right side
    461.11x = 190,827.17
  5. Step 5: Solve for x
    x = 190,827.17/461.11
  6. Step 6: Final answer
    x = 413.85

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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.