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Finding the Fourth Proportional to 539.75, 744.95 and 408.53

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Solution

The fourth proportional to 539.75, 744.95 and 408.53 is: 563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.75 : 744.95 = 408.53 : x
  2. Step 2: Convert to fraction form
    539.75/744.95 = 408.53/x
  3. Step 3: Cross multiply
    539.75x = 744.95 × 408.53
  4. Step 4: Simplify right side
    539.75x = 304,334.42
  5. Step 5: Solve for x
    x = 304,334.42/539.75
  6. Step 6: Final answer
    x = 563.84

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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.