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Finding the Fourth Proportional to 689.76, 1,034.42 and 324.18

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Solution

The fourth proportional to 689.76, 1,034.42 and 324.18 is: 486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.76 : 1,034.42 = 324.18 : x
  2. Step 2: Convert to fraction form
    689.76/1,034.42 = 324.18/x
  3. Step 3: Cross multiply
    689.76x = 1,034.42 × 324.18
  4. Step 4: Simplify right side
    689.76x = 335,336.65
  5. Step 5: Solve for x
    x = 335,336.65/689.76
  6. Step 6: Final answer
    x = 486.16

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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.