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Finding the Fourth Proportional to 559.82, 839.21 and 286.10

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Solution

The fourth proportional to 559.82, 839.21 and 286.10 is: 428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.82 : 839.21 = 286.10 : x
  2. Step 2: Convert to fraction form
    559.82/839.21 = 286.10/x
  3. Step 3: Cross multiply
    559.82x = 839.21 × 286.10
  4. Step 4: Simplify right side
    559.82x = 240,097.98
  5. Step 5: Solve for x
    x = 240,097.98/559.82
  6. Step 6: Final answer
    x = 428.88

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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.