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Finding the Fourth Proportional to 1,098.76, 1,647.36 and 550.56

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Solution

The fourth proportional to 1,098.76, 1,647.36 and 550.56 is: 825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.76 : 1,647.36 = 550.56 : x
  2. Step 2: Convert to fraction form
    1,098.76/1,647.36 = 550.56/x
  3. Step 3: Cross multiply
    1,098.76x = 1,647.36 × 550.56
  4. Step 4: Simplify right side
    1,098.76x = 906,970.52
  5. Step 5: Solve for x
    x = 906,970.52/1,098.76
  6. Step 6: Final answer
    x = 825.45

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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.