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Finding the Fourth Proportional to 1,186.40, 1,780.78 and 819.92

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Solution

The fourth proportional to 1,186.40, 1,780.78 and 819.92 is: 1,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.40 : 1,780.78 = 819.92 : x
  2. Step 2: Convert to fraction form
    1,186.40/1,780.78 = 819.92/x
  3. Step 3: Cross multiply
    1,186.40x = 1,780.78 × 819.92
  4. Step 4: Simplify right side
    1,186.40x = 1,460,097.14
  5. Step 5: Solve for x
    x = 1,460,097.14/1,186.40
  6. Step 6: Final answer
    x = 1,230.70

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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.