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Finding the Fourth Proportional to 800, 1,191.52 and 758.88

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Solution

The fourth proportional to 800, 1,191.52 and 758.88 is: 1,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    800 : 1,191.52 = 758.88 : x
  2. Step 2: Convert to fraction form
    800/1,191.52 = 758.88/x
  3. Step 3: Cross multiply
    800x = 1,191.52 × 758.88
  4. Step 4: Simplify right side
    800x = 904,220.70
  5. Step 5: Solve for x
    x = 904,220.70/800
  6. Step 6: Final answer
    x = 1,130.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.