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Finding the Fourth Proportional to 535.11, 738.86 and 379.59

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Solution

The fourth proportional to 535.11, 738.86 and 379.59 is: 524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.11 : 738.86 = 379.59 : x
  2. Step 2: Convert to fraction form
    535.11/738.86 = 379.59/x
  3. Step 3: Cross multiply
    535.11x = 738.86 × 379.59
  4. Step 4: Simplify right side
    535.11x = 280,461.97
  5. Step 5: Solve for x
    x = 280,461.97/535.11
  6. Step 6: Final answer
    x = 524.12

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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.