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Finding the Fourth Proportional to 525.62, 725.38 and 348.27

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Solution

The fourth proportional to 525.62, 725.38 and 348.27 is: 480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.62 : 725.38 = 348.27 : x
  2. Step 2: Convert to fraction form
    525.62/725.38 = 348.27/x
  3. Step 3: Cross multiply
    525.62x = 725.38 × 348.27
  4. Step 4: Simplify right side
    525.62x = 252,624.47
  5. Step 5: Solve for x
    x = 252,624.47/525.62
  6. Step 6: Final answer
    x = 480.63

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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.