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Finding the Fourth Proportional to 462.84, 641.76 and 438.24

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Solution

The fourth proportional to 462.84, 641.76 and 438.24 is: 607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.84 : 641.76 = 438.24 : x
  2. Step 2: Convert to fraction form
    462.84/641.76 = 438.24/x
  3. Step 3: Cross multiply
    462.84x = 641.76 × 438.24
  4. Step 4: Simplify right side
    462.84x = 281,244.90
  5. Step 5: Solve for x
    x = 281,244.90/462.84
  6. Step 6: Final answer
    x = 607.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.