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Finding the Fourth Proportional to 559.42, 839.24 and 281.92

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Solution

The fourth proportional to 559.42, 839.24 and 281.92 is: 422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.42 : 839.24 = 281.92 : x
  2. Step 2: Convert to fraction form
    559.42/839.24 = 281.92/x
  3. Step 3: Cross multiply
    559.42x = 839.24 × 281.92
  4. Step 4: Simplify right side
    559.42x = 236,597.13
  5. Step 5: Solve for x
    x = 236,597.13/559.42
  6. Step 6: Final answer
    x = 422.94

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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.