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Finding the Fourth Proportional to 689.27, 1,032.90 and 396.17

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Solution

The fourth proportional to 689.27, 1,032.90 and 396.17 is: 593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.27 : 1,032.90 = 396.17 : x
  2. Step 2: Convert to fraction form
    689.27/1,032.90 = 396.17/x
  3. Step 3: Cross multiply
    689.27x = 1,032.90 × 396.17
  4. Step 4: Simplify right side
    689.27x = 409,203.99
  5. Step 5: Solve for x
    x = 409,203.99/689.27
  6. Step 6: Final answer
    x = 593.68

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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.