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Finding the Fourth Proportional to 463.40, 642.42 and 438.74

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Solution

The fourth proportional to 463.40, 642.42 and 438.74 is: 608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.40 : 642.42 = 438.74 : x
  2. Step 2: Convert to fraction form
    463.40/642.42 = 438.74/x
  3. Step 3: Cross multiply
    463.40x = 642.42 × 438.74
  4. Step 4: Simplify right side
    463.40x = 281,854.25
  5. Step 5: Solve for x
    x = 281,854.25/463.40
  6. Step 6: Final answer
    x = 608.23

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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.