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Finding the Fourth Proportional to 1,318.82, 1,974.12 and 972.55

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Solution

The fourth proportional to 1,318.82, 1,974.12 and 972.55 is: 1,455.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.82 : 1,974.12 = 972.55 : x
  2. Step 2: Convert to fraction form
    1,318.82/1,974.12 = 972.55/x
  3. Step 3: Cross multiply
    1,318.82x = 1,974.12 × 972.55
  4. Step 4: Simplify right side
    1,318.82x = 1,919,920.54
  5. Step 5: Solve for x
    x = 1,919,920.54/1,318.82
  6. Step 6: Final answer
    x = 1,455.79

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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.