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Finding the Fourth Proportional to 559.75, 772.24 and 412.73

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Solution

The fourth proportional to 559.75, 772.24 and 412.73 is: 569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.75 : 772.24 = 412.73 : x
  2. Step 2: Convert to fraction form
    559.75/772.24 = 412.73/x
  3. Step 3: Cross multiply
    559.75x = 772.24 × 412.73
  4. Step 4: Simplify right side
    559.75x = 318,724.55
  5. Step 5: Solve for x
    x = 318,724.55/559.75
  6. Step 6: Final answer
    x = 569.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.