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Finding the Fourth Proportional to 539.95, 744.96 and 340.78

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Solution

The fourth proportional to 539.95, 744.96 and 340.78 is: 470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.95 : 744.96 = 340.78 : x
  2. Step 2: Convert to fraction form
    539.95/744.96 = 340.78/x
  3. Step 3: Cross multiply
    539.95x = 744.96 × 340.78
  4. Step 4: Simplify right side
    539.95x = 253,867.47
  5. Step 5: Solve for x
    x = 253,867.47/539.95
  6. Step 6: Final answer
    x = 470.17

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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.