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Finding the Fourth Proportional to 1,002.87, 1,504.42 and 272.45

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Solution

The fourth proportional to 1,002.87, 1,504.42 and 272.45 is: 408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.87 : 1,504.42 = 272.45 : x
  2. Step 2: Convert to fraction form
    1,002.87/1,504.42 = 272.45/x
  3. Step 3: Cross multiply
    1,002.87x = 1,504.42 × 272.45
  4. Step 4: Simplify right side
    1,002.87x = 409,882.31
  5. Step 5: Solve for x
    x = 409,882.31/1,002.87
  6. Step 6: Final answer
    x = 408.71

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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.