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Finding the Fourth Proportional to 1,654.39, 2,479.85 and 1,214.98

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Solution

The fourth proportional to 1,654.39, 2,479.85 and 1,214.98 is: 1,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.39 : 2,479.85 = 1,214.98 : x
  2. Step 2: Convert to fraction form
    1,654.39/2,479.85 = 1,214.98/x
  3. Step 3: Cross multiply
    1,654.39x = 2,479.85 × 1,214.98
  4. Step 4: Simplify right side
    1,654.39x = 3,012,974.38
  5. Step 5: Solve for x
    x = 3,012,974.38/1,654.39
  6. Step 6: Final answer
    x = 1,821.20

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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.