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Finding the Fourth Proportional to 539.15, 806.68 and 319.89

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Solution

The fourth proportional to 539.15, 806.68 and 319.89 is: 478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.15 : 806.68 = 319.89 : x
  2. Step 2: Convert to fraction form
    539.15/806.68 = 319.89/x
  3. Step 3: Cross multiply
    539.15x = 806.68 × 319.89
  4. Step 4: Simplify right side
    539.15x = 258,047.27
  5. Step 5: Solve for x
    x = 258,047.27/539.15
  6. Step 6: Final answer
    x = 478.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.