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Finding the Fourth Proportional to 1,098.21, 1,646.49 and 550.78

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Solution

The fourth proportional to 1,098.21, 1,646.49 and 550.78 is: 825.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.21 : 1,646.49 = 550.78 : x
  2. Step 2: Convert to fraction form
    1,098.21/1,646.49 = 550.78/x
  3. Step 3: Cross multiply
    1,098.21x = 1,646.49 × 550.78
  4. Step 4: Simplify right side
    1,098.21x = 906,853.76
  5. Step 5: Solve for x
    x = 906,853.76/1,098.21
  6. Step 6: Final answer
    x = 825.76

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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.