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Finding the Fourth Proportional to 1,153.70, 1,591.50 and 803.78

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Solution

The fourth proportional to 1,153.70, 1,591.50 and 803.78 is: 1,108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.70 : 1,591.50 = 803.78 : x
  2. Step 2: Convert to fraction form
    1,153.70/1,591.50 = 803.78/x
  3. Step 3: Cross multiply
    1,153.70x = 1,591.50 × 803.78
  4. Step 4: Simplify right side
    1,153.70x = 1,279,215.87
  5. Step 5: Solve for x
    x = 1,279,215.87/1,153.70
  6. Step 6: Final answer
    x = 1,108.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.