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Finding the Fourth Proportional to 539.18, 743.73 and 342.95

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Solution

The fourth proportional to 539.18, 743.73 and 342.95 is: 473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.18 : 743.73 = 342.95 : x
  2. Step 2: Convert to fraction form
    539.18/743.73 = 342.95/x
  3. Step 3: Cross multiply
    539.18x = 743.73 × 342.95
  4. Step 4: Simplify right side
    539.18x = 255,062.20
  5. Step 5: Solve for x
    x = 255,062.20/539.18
  6. Step 6: Final answer
    x = 473.06

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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.