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Finding the Fourth Proportional to 1,191.88, 1,787.02 and 499.02

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Solution

The fourth proportional to 1,191.88, 1,787.02 and 499.02 is: 748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.88 : 1,787.02 = 499.02 : x
  2. Step 2: Convert to fraction form
    1,191.88/1,787.02 = 499.02/x
  3. Step 3: Cross multiply
    1,191.88x = 1,787.02 × 499.02
  4. Step 4: Simplify right side
    1,191.88x = 891,758.72
  5. Step 5: Solve for x
    x = 891,758.72/1,191.88
  6. Step 6: Final answer
    x = 748.20

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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.