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Finding the Fourth Proportional to 689.29, 1,032.11 and 363.67

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Solution

The fourth proportional to 689.29, 1,032.11 and 363.67 is: 544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.29 : 1,032.11 = 363.67 : x
  2. Step 2: Convert to fraction form
    689.29/1,032.11 = 363.67/x
  3. Step 3: Cross multiply
    689.29x = 1,032.11 × 363.67
  4. Step 4: Simplify right side
    689.29x = 375,344.41
  5. Step 5: Solve for x
    x = 375,344.41/689.29
  6. Step 6: Final answer
    x = 544.54

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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.