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Finding the Fourth Proportional to 787.49, 1,086.35 and 611.61

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Solution

The fourth proportional to 787.49, 1,086.35 and 611.61 is: 843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.49 : 1,086.35 = 611.61 : x
  2. Step 2: Convert to fraction form
    787.49/1,086.35 = 611.61/x
  3. Step 3: Cross multiply
    787.49x = 1,086.35 × 611.61
  4. Step 4: Simplify right side
    787.49x = 664,419.47
  5. Step 5: Solve for x
    x = 664,419.47/787.49
  6. Step 6: Final answer
    x = 843.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.