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Finding the Fourth Proportional to 1,040.80, 1,563.36 and 825.88

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Solution

The fourth proportional to 1,040.80, 1,563.36 and 825.88 is: 1,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.80 : 1,563.36 = 825.88 : x
  2. Step 2: Convert to fraction form
    1,040.80/1,563.36 = 825.88/x
  3. Step 3: Cross multiply
    1,040.80x = 1,563.36 × 825.88
  4. Step 4: Simplify right side
    1,040.80x = 1,291,147.76
  5. Step 5: Solve for x
    x = 1,291,147.76/1,040.80
  6. Step 6: Final answer
    x = 1,240.53

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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.