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Finding the Fourth Proportional to 535.47, 738.57 and 339.11

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Solution

The fourth proportional to 535.47, 738.57 and 339.11 is: 467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.47 : 738.57 = 339.11 : x
  2. Step 2: Convert to fraction form
    535.47/738.57 = 339.11/x
  3. Step 3: Cross multiply
    535.47x = 738.57 × 339.11
  4. Step 4: Simplify right side
    535.47x = 250,456.47
  5. Step 5: Solve for x
    x = 250,456.47/535.47
  6. Step 6: Final answer
    x = 467.73

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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.