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Finding the Fourth Proportional to 1,396.59, 1,925.85 and 1,198.11

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Solution

The fourth proportional to 1,396.59, 1,925.85 and 1,198.11 is: 1,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.59 : 1,925.85 = 1,198.11 : x
  2. Step 2: Convert to fraction form
    1,396.59/1,925.85 = 1,198.11/x
  3. Step 3: Cross multiply
    1,396.59x = 1,925.85 × 1,198.11
  4. Step 4: Simplify right side
    1,396.59x = 2,307,380.14
  5. Step 5: Solve for x
    x = 2,307,380.14/1,396.59
  6. Step 6: Final answer
    x = 1,652.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.