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Finding the Fourth Proportional to 1,233.76, 1,849.40 and 686.20

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Solution

The fourth proportional to 1,233.76, 1,849.40 and 686.20 is: 1,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.76 : 1,849.40 = 686.20 : x
  2. Step 2: Convert to fraction form
    1,233.76/1,849.40 = 686.20/x
  3. Step 3: Cross multiply
    1,233.76x = 1,849.40 × 686.20
  4. Step 4: Simplify right side
    1,233.76x = 1,269,058.28
  5. Step 5: Solve for x
    x = 1,269,058.28/1,233.76
  6. Step 6: Final answer
    x = 1,028.61

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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.