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Finding the Fourth Proportional to 1,025.50, 1,415.22 and 559.78

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Solution

The fourth proportional to 1,025.50, 1,415.22 and 559.78 is: 772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.50 : 1,415.22 = 559.78 : x
  2. Step 2: Convert to fraction form
    1,025.50/1,415.22 = 559.78/x
  3. Step 3: Cross multiply
    1,025.50x = 1,415.22 × 559.78
  4. Step 4: Simplify right side
    1,025.50x = 792,211.85
  5. Step 5: Solve for x
    x = 792,211.85/1,025.50
  6. Step 6: Final answer
    x = 772.51

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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.