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Finding the Fourth Proportional to 1,002.97, 1,503.91 and 386.11

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Solution

The fourth proportional to 1,002.97, 1,503.91 and 386.11 is: 578.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.97 : 1,503.91 = 386.11 : x
  2. Step 2: Convert to fraction form
    1,002.97/1,503.91 = 386.11/x
  3. Step 3: Cross multiply
    1,002.97x = 1,503.91 × 386.11
  4. Step 4: Simplify right side
    1,002.97x = 580,665.24
  5. Step 5: Solve for x
    x = 580,665.24/1,002.97
  6. Step 6: Final answer
    x = 578.95

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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.