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Finding the Fourth Proportional to 535.62, 739.29 and 348.80

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Solution

The fourth proportional to 535.62, 739.29 and 348.80 is: 481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.62 : 739.29 = 348.80 : x
  2. Step 2: Convert to fraction form
    535.62/739.29 = 348.80/x
  3. Step 3: Cross multiply
    535.62x = 739.29 × 348.80
  4. Step 4: Simplify right side
    535.62x = 257,860.66
  5. Step 5: Solve for x
    x = 257,860.66/535.62
  6. Step 6: Final answer
    x = 481.42

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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.