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Finding the Fourth Proportional to 2,505.57, 3,758.44 and 750.59

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Solution

The fourth proportional to 2,505.57, 3,758.44 and 750.59 is: 1,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.57 : 3,758.44 = 750.59 : x
  2. Step 2: Convert to fraction form
    2,505.57/3,758.44 = 750.59/x
  3. Step 3: Cross multiply
    2,505.57x = 3,758.44 × 750.59
  4. Step 4: Simplify right side
    2,505.57x = 2,821,047.48
  5. Step 5: Solve for x
    x = 2,821,047.48/2,505.57
  6. Step 6: Final answer
    x = 1,125.91

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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.