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Finding the Fourth Proportional to 1,098.47, 1,647.18 and 367.85

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Solution

The fourth proportional to 1,098.47, 1,647.18 and 367.85 is: 551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.47 : 1,647.18 = 367.85 : x
  2. Step 2: Convert to fraction form
    1,098.47/1,647.18 = 367.85/x
  3. Step 3: Cross multiply
    1,098.47x = 1,647.18 × 367.85
  4. Step 4: Simplify right side
    1,098.47x = 605,906.93
  5. Step 5: Solve for x
    x = 605,906.93/1,098.47
  6. Step 6: Final answer
    x = 551.59

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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.