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Finding the Fourth Proportional to 689.74, 1,033.23 and 323.42

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Solution

The fourth proportional to 689.74, 1,033.23 and 323.42 is: 484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.74 : 1,033.23 = 323.42 : x
  2. Step 2: Convert to fraction form
    689.74/1,033.23 = 323.42/x
  3. Step 3: Cross multiply
    689.74x = 1,033.23 × 323.42
  4. Step 4: Simplify right side
    689.74x = 334,162.08
  5. Step 5: Solve for x
    x = 334,162.08/689.74
  6. Step 6: Final answer
    x = 484.48

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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.