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Finding the Fourth Proportional to 463.57, 643.06 and 438.97

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Solution

The fourth proportional to 463.57, 643.06 and 438.97 is: 608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.57 : 643.06 = 438.97 : x
  2. Step 2: Convert to fraction form
    463.57/643.06 = 438.97/x
  3. Step 3: Cross multiply
    463.57x = 643.06 × 438.97
  4. Step 4: Simplify right side
    463.57x = 282,284.05
  5. Step 5: Solve for x
    x = 282,284.05/463.57
  6. Step 6: Final answer
    x = 608.94

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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.