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Finding the Fourth Proportional to 452.91, 625.05 and 287.17

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Solution

The fourth proportional to 452.91, 625.05 and 287.17 is: 396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.91 : 625.05 = 287.17 : x
  2. Step 2: Convert to fraction form
    452.91/625.05 = 287.17/x
  3. Step 3: Cross multiply
    452.91x = 625.05 × 287.17
  4. Step 4: Simplify right side
    452.91x = 179,495.61
  5. Step 5: Solve for x
    x = 179,495.61/452.91
  6. Step 6: Final answer
    x = 396.32

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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.