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Finding the Fourth Proportional to 625.88, 863.52 and 468.74

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Solution

The fourth proportional to 625.88, 863.52 and 468.74 is: 646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.88 : 863.52 = 468.74 : x
  2. Step 2: Convert to fraction form
    625.88/863.52 = 468.74/x
  3. Step 3: Cross multiply
    625.88x = 863.52 × 468.74
  4. Step 4: Simplify right side
    625.88x = 404,766.36
  5. Step 5: Solve for x
    x = 404,766.36/625.88
  6. Step 6: Final answer
    x = 646.72

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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.