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Finding the Fourth Proportional to 1,188.50, 1,780.78 and 724.88

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Solution

The fourth proportional to 1,188.50, 1,780.78 and 724.88 is: 1,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.50 : 1,780.78 = 724.88 : x
  2. Step 2: Convert to fraction form
    1,188.50/1,780.78 = 724.88/x
  3. Step 3: Cross multiply
    1,188.50x = 1,780.78 × 724.88
  4. Step 4: Simplify right side
    1,188.50x = 1,290,851.81
  5. Step 5: Solve for x
    x = 1,290,851.81/1,188.50
  6. Step 6: Final answer
    x = 1,086.12

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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.