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Finding the Fourth Proportional to 1,337.44, 2,005.32 and 759.52

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Solution

The fourth proportional to 1,337.44, 2,005.32 and 759.52 is: 1,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.44 : 2,005.32 = 759.52 : x
  2. Step 2: Convert to fraction form
    1,337.44/2,005.32 = 759.52/x
  3. Step 3: Cross multiply
    1,337.44x = 2,005.32 × 759.52
  4. Step 4: Simplify right side
    1,337.44x = 1,523,080.65
  5. Step 5: Solve for x
    x = 1,523,080.65/1,337.44
  6. Step 6: Final answer
    x = 1,138.80

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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.