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Finding the Fourth Proportional to 1,002.09, 1,503.28 and 308.57

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Solution

The fourth proportional to 1,002.09, 1,503.28 and 308.57 is: 462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.09 : 1,503.28 = 308.57 : x
  2. Step 2: Convert to fraction form
    1,002.09/1,503.28 = 308.57/x
  3. Step 3: Cross multiply
    1,002.09x = 1,503.28 × 308.57
  4. Step 4: Simplify right side
    1,002.09x = 463,869.46
  5. Step 5: Solve for x
    x = 463,869.46/1,002.09
  6. Step 6: Final answer
    x = 462.90

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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.