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Finding the Fourth Proportional to 539.59, 744.33 and 342.76

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Solution

The fourth proportional to 539.59, 744.33 and 342.76 is: 472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.59 : 744.33 = 342.76 : x
  2. Step 2: Convert to fraction form
    539.59/744.33 = 342.76/x
  3. Step 3: Cross multiply
    539.59x = 744.33 × 342.76
  4. Step 4: Simplify right side
    539.59x = 255,126.55
  5. Step 5: Solve for x
    x = 255,126.55/539.59
  6. Step 6: Final answer
    x = 472.82

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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.