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Finding the Fourth Proportional to 539.12, 743.96 and 332.08

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Solution

The fourth proportional to 539.12, 743.96 and 332.08 is: 458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.12 : 743.96 = 332.08 : x
  2. Step 2: Convert to fraction form
    539.12/743.96 = 332.08/x
  3. Step 3: Cross multiply
    539.12x = 743.96 × 332.08
  4. Step 4: Simplify right side
    539.12x = 247,054.24
  5. Step 5: Solve for x
    x = 247,054.24/539.12
  6. Step 6: Final answer
    x = 458.25

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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.