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Finding the Fourth Proportional to 1,044.20, 1,562.64 and 825.50

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Solution

The fourth proportional to 1,044.20, 1,562.64 and 825.50 is: 1,235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.20 : 1,562.64 = 825.50 : x
  2. Step 2: Convert to fraction form
    1,044.20/1,562.64 = 825.50/x
  3. Step 3: Cross multiply
    1,044.20x = 1,562.64 × 825.50
  4. Step 4: Simplify right side
    1,044.20x = 1,289,959.32
  5. Step 5: Solve for x
    x = 1,289,959.32/1,044.20
  6. Step 6: Final answer
    x = 1,235.36

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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.