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Finding the Fourth Proportional to 1,188.28, 1,780.80 and 996.04

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Solution

The fourth proportional to 1,188.28, 1,780.80 and 996.04 is: 1,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.28 : 1,780.80 = 996.04 : x
  2. Step 2: Convert to fraction form
    1,188.28/1,780.80 = 996.04/x
  3. Step 3: Cross multiply
    1,188.28x = 1,780.80 × 996.04
  4. Step 4: Simplify right side
    1,188.28x = 1,773,748.03
  5. Step 5: Solve for x
    x = 1,773,748.03/1,188.28
  6. Step 6: Final answer
    x = 1,492.70

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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.