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Finding the Fourth Proportional to 1,098.44, 1,647.66 and 328.94

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Solution

The fourth proportional to 1,098.44, 1,647.66 and 328.94 is: 493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.44 : 1,647.66 = 328.94 : x
  2. Step 2: Convert to fraction form
    1,098.44/1,647.66 = 328.94/x
  3. Step 3: Cross multiply
    1,098.44x = 1,647.66 × 328.94
  4. Step 4: Simplify right side
    1,098.44x = 541,981.28
  5. Step 5: Solve for x
    x = 541,981.28/1,098.44
  6. Step 6: Final answer
    x = 493.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.