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Finding the Fourth Proportional to 733.67, 1,106.04 and 686.69

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Solution

The fourth proportional to 733.67, 1,106.04 and 686.69 is: 1,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.67 : 1,106.04 = 686.69 : x
  2. Step 2: Convert to fraction form
    733.67/1,106.04 = 686.69/x
  3. Step 3: Cross multiply
    733.67x = 1,106.04 × 686.69
  4. Step 4: Simplify right side
    733.67x = 759,506.61
  5. Step 5: Solve for x
    x = 759,506.61/733.67
  6. Step 6: Final answer
    x = 1,035.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.