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Finding the Fourth Proportional to 484.13, 725.54 and 252.52

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Solution

The fourth proportional to 484.13, 725.54 and 252.52 is: 378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.13 : 725.54 = 252.52 : x
  2. Step 2: Convert to fraction form
    484.13/725.54 = 252.52/x
  3. Step 3: Cross multiply
    484.13x = 725.54 × 252.52
  4. Step 4: Simplify right side
    484.13x = 183,210.28
  5. Step 5: Solve for x
    x = 183,210.28/484.13
  6. Step 6: Final answer
    x = 378.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.