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Finding the Fourth Proportional to 535.57, 738.91 and 314.44

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Solution

The fourth proportional to 535.57, 738.91 and 314.44 is: 433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.57 : 738.91 = 314.44 : x
  2. Step 2: Convert to fraction form
    535.57/738.91 = 314.44/x
  3. Step 3: Cross multiply
    535.57x = 738.91 × 314.44
  4. Step 4: Simplify right side
    535.57x = 232,342.86
  5. Step 5: Solve for x
    x = 232,342.86/535.57
  6. Step 6: Final answer
    x = 433.82

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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.