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Finding the Fourth Proportional to 1,002.38, 1,504.08 and 613.20

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Solution

The fourth proportional to 1,002.38, 1,504.08 and 613.20 is: 920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.38 : 1,504.08 = 613.20 : x
  2. Step 2: Convert to fraction form
    1,002.38/1,504.08 = 613.20/x
  3. Step 3: Cross multiply
    1,002.38x = 1,504.08 × 613.20
  4. Step 4: Simplify right side
    1,002.38x = 922,301.86
  5. Step 5: Solve for x
    x = 922,301.86/1,002.38
  6. Step 6: Final answer
    x = 920.11

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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.