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Finding the Fourth Proportional to 452.29, 625.31 and 354.01

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Solution

The fourth proportional to 452.29, 625.31 and 354.01 is: 489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.29 : 625.31 = 354.01 : x
  2. Step 2: Convert to fraction form
    452.29/625.31 = 354.01/x
  3. Step 3: Cross multiply
    452.29x = 625.31 × 354.01
  4. Step 4: Simplify right side
    452.29x = 221,364.22
  5. Step 5: Solve for x
    x = 221,364.22/452.29
  6. Step 6: Final answer
    x = 489.43

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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.