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Finding the Fourth Proportional to 532.31, 797.60 and 349.56

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Solution

The fourth proportional to 532.31, 797.60 and 349.56 is: 523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.31 : 797.60 = 349.56 : x
  2. Step 2: Convert to fraction form
    532.31/797.60 = 349.56/x
  3. Step 3: Cross multiply
    532.31x = 797.60 × 349.56
  4. Step 4: Simplify right side
    532.31x = 278,809.93
  5. Step 5: Solve for x
    x = 278,809.93/532.31
  6. Step 6: Final answer
    x = 523.78

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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.