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Finding the Fourth Proportional to 539.64, 742.92 and 465.54

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Solution

The fourth proportional to 539.64, 742.92 and 465.54 is: 640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.64 : 742.92 = 465.54 : x
  2. Step 2: Convert to fraction form
    539.64/742.92 = 465.54/x
  3. Step 3: Cross multiply
    539.64x = 742.92 × 465.54
  4. Step 4: Simplify right side
    539.64x = 345,858.98
  5. Step 5: Solve for x
    x = 345,858.98/539.64
  6. Step 6: Final answer
    x = 640.91

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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.