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Finding the Fourth Proportional to 1,191.61, 1,787.19 and 498.09

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Solution

The fourth proportional to 1,191.61, 1,787.19 and 498.09 is: 747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.61 : 1,787.19 = 498.09 : x
  2. Step 2: Convert to fraction form
    1,191.61/1,787.19 = 498.09/x
  3. Step 3: Cross multiply
    1,191.61x = 1,787.19 × 498.09
  4. Step 4: Simplify right side
    1,191.61x = 890,183.33
  5. Step 5: Solve for x
    x = 890,183.33/1,191.61
  6. Step 6: Final answer
    x = 747.04

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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.