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Finding the Fourth Proportional to 1,098.80, 1,647.64 and 329.20

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Solution

The fourth proportional to 1,098.80, 1,647.64 and 329.20 is: 493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.80 : 1,647.64 = 329.20 : x
  2. Step 2: Convert to fraction form
    1,098.80/1,647.64 = 329.20/x
  3. Step 3: Cross multiply
    1,098.80x = 1,647.64 × 329.20
  4. Step 4: Simplify right side
    1,098.80x = 542,403.09
  5. Step 5: Solve for x
    x = 542,403.09/1,098.80
  6. Step 6: Final answer
    x = 493.63

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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.