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Finding the Fourth Proportional to 452.90, 625.10 and 287.34

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Solution

The fourth proportional to 452.90, 625.10 and 287.34 is: 396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.90 : 625.10 = 287.34 : x
  2. Step 2: Convert to fraction form
    452.90/625.10 = 287.34/x
  3. Step 3: Cross multiply
    452.90x = 625.10 × 287.34
  4. Step 4: Simplify right side
    452.90x = 179,616.23
  5. Step 5: Solve for x
    x = 179,616.23/452.90
  6. Step 6: Final answer
    x = 396.59

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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.