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Finding the Fourth Proportional to 1,170.78, 1,755.90 and 807.90

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Solution

The fourth proportional to 1,170.78, 1,755.90 and 807.90 is: 1,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.78 : 1,755.90 = 807.90 : x
  2. Step 2: Convert to fraction form
    1,170.78/1,755.90 = 807.90/x
  3. Step 3: Cross multiply
    1,170.78x = 1,755.90 × 807.90
  4. Step 4: Simplify right side
    1,170.78x = 1,418,591.61
  5. Step 5: Solve for x
    x = 1,418,591.61/1,170.78
  6. Step 6: Final answer
    x = 1,211.66

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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.