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Finding the Fourth Proportional to 539.10, 742.77 and 445.32

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Solution

The fourth proportional to 539.10, 742.77 and 445.32 is: 613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.10 : 742.77 = 445.32 : x
  2. Step 2: Convert to fraction form
    539.10/742.77 = 445.32/x
  3. Step 3: Cross multiply
    539.10x = 742.77 × 445.32
  4. Step 4: Simplify right side
    539.10x = 330,770.34
  5. Step 5: Solve for x
    x = 330,770.34/539.10
  6. Step 6: Final answer
    x = 613.56

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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.