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Finding the Fourth Proportional to 559.44, 834.17 and 523.80

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Solution

The fourth proportional to 559.44, 834.17 and 523.80 is: 781.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.44 : 834.17 = 523.80 : x
  2. Step 2: Convert to fraction form
    559.44/834.17 = 523.80/x
  3. Step 3: Cross multiply
    559.44x = 834.17 × 523.80
  4. Step 4: Simplify right side
    559.44x = 436,935.63
  5. Step 5: Solve for x
    x = 436,935.63/559.44
  6. Step 6: Final answer
    x = 781.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.