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Finding the Fourth Proportional to 689.36, 1,032.67 and 323.04

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Solution

The fourth proportional to 689.36, 1,032.67 and 323.04 is: 483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.36 : 1,032.67 = 323.04 : x
  2. Step 2: Convert to fraction form
    689.36/1,032.67 = 323.04/x
  3. Step 3: Cross multiply
    689.36x = 1,032.67 × 323.04
  4. Step 4: Simplify right side
    689.36x = 333,592.91
  5. Step 5: Solve for x
    x = 333,592.91/689.36
  6. Step 6: Final answer
    x = 483.92

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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.