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Finding the Fourth Proportional to 625.19, 862.25 and 438.35

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Solution

The fourth proportional to 625.19, 862.25 and 438.35 is: 604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.19 : 862.25 = 438.35 : x
  2. Step 2: Convert to fraction form
    625.19/862.25 = 438.35/x
  3. Step 3: Cross multiply
    625.19x = 862.25 × 438.35
  4. Step 4: Simplify right side
    625.19x = 377,960.78
  5. Step 5: Solve for x
    x = 377,960.78/625.19
  6. Step 6: Final answer
    x = 604.56

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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.