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Finding the Fourth Proportional to 463.15, 642.07 and 438.49

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Solution

The fourth proportional to 463.15, 642.07 and 438.49 is: 607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.15 : 642.07 = 438.49 : x
  2. Step 2: Convert to fraction form
    463.15/642.07 = 438.49/x
  3. Step 3: Cross multiply
    463.15x = 642.07 × 438.49
  4. Step 4: Simplify right side
    463.15x = 281,541.27
  5. Step 5: Solve for x
    x = 281,541.27/463.15
  6. Step 6: Final answer
    x = 607.88

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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.