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Finding the Fourth Proportional to 1,191.55, 1,787.83 and 498.36

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Solution

The fourth proportional to 1,191.55, 1,787.83 and 498.36 is: 747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.55 : 1,787.83 = 498.36 : x
  2. Step 2: Convert to fraction form
    1,191.55/1,787.83 = 498.36/x
  3. Step 3: Cross multiply
    1,191.55x = 1,787.83 × 498.36
  4. Step 4: Simplify right side
    1,191.55x = 890,982.96
  5. Step 5: Solve for x
    x = 890,982.96/1,191.55
  6. Step 6: Final answer
    x = 747.75

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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.