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Finding the Fourth Proportional to 462.57, 638.71 and 323.04

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Solution

The fourth proportional to 462.57, 638.71 and 323.04 is: 446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.57 : 638.71 = 323.04 : x
  2. Step 2: Convert to fraction form
    462.57/638.71 = 323.04/x
  3. Step 3: Cross multiply
    462.57x = 638.71 × 323.04
  4. Step 4: Simplify right side
    462.57x = 206,328.07
  5. Step 5: Solve for x
    x = 206,328.07/462.57
  6. Step 6: Final answer
    x = 446.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.