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Finding the Fourth Proportional to 539.15, 743.95 and 318.02

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Solution

The fourth proportional to 539.15, 743.95 and 318.02 is: 438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.15 : 743.95 = 318.02 : x
  2. Step 2: Convert to fraction form
    539.15/743.95 = 318.02/x
  3. Step 3: Cross multiply
    539.15x = 743.95 × 318.02
  4. Step 4: Simplify right side
    539.15x = 236,587.66
  5. Step 5: Solve for x
    x = 236,587.66/539.15
  6. Step 6: Final answer
    x = 438.82

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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.