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Finding the Fourth Proportional to 539.67, 809.78 and 296.13

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Solution

The fourth proportional to 539.67, 809.78 and 296.13 is: 444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.67 : 809.78 = 296.13 : x
  2. Step 2: Convert to fraction form
    539.67/809.78 = 296.13/x
  3. Step 3: Cross multiply
    539.67x = 809.78 × 296.13
  4. Step 4: Simplify right side
    539.67x = 239,800.15
  5. Step 5: Solve for x
    x = 239,800.15/539.67
  6. Step 6: Final answer
    x = 444.35

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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.