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Finding the Fourth Proportional to 734.66, 1,101.75 and 686.13

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Solution

The fourth proportional to 734.66, 1,101.75 and 686.13 is: 1,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.66 : 1,101.75 = 686.13 : x
  2. Step 2: Convert to fraction form
    734.66/1,101.75 = 686.13/x
  3. Step 3: Cross multiply
    734.66x = 1,101.75 × 686.13
  4. Step 4: Simplify right side
    734.66x = 755,943.73
  5. Step 5: Solve for x
    x = 755,943.73/734.66
  6. Step 6: Final answer
    x = 1,028.97

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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.