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Finding the Fourth Proportional to 539.68, 809.16 and 279.18

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Solution

The fourth proportional to 539.68, 809.16 and 279.18 is: 418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.68 : 809.16 = 279.18 : x
  2. Step 2: Convert to fraction form
    539.68/809.16 = 279.18/x
  3. Step 3: Cross multiply
    539.68x = 809.16 × 279.18
  4. Step 4: Simplify right side
    539.68x = 225,901.29
  5. Step 5: Solve for x
    x = 225,901.29/539.68
  6. Step 6: Final answer
    x = 418.58

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1.5x scale

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.