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Finding the Fourth Proportional to 1,002.56, 1,503.96 and 515.48

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Solution

The fourth proportional to 1,002.56, 1,503.96 and 515.48 is: 773.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.56 : 1,503.96 = 515.48 : x
  2. Step 2: Convert to fraction form
    1,002.56/1,503.96 = 515.48/x
  3. Step 3: Cross multiply
    1,002.56x = 1,503.96 × 515.48
  4. Step 4: Simplify right side
    1,002.56x = 775,261.30
  5. Step 5: Solve for x
    x = 775,261.30/1,002.56
  6. Step 6: Final answer
    x = 773.28

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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.