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Finding the Fourth Proportional to 1,318.85, 1,978.56 and 1,084.98

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Solution

The fourth proportional to 1,318.85, 1,978.56 and 1,084.98 is: 1,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.85 : 1,978.56 = 1,084.98 : x
  2. Step 2: Convert to fraction form
    1,318.85/1,978.56 = 1,084.98/x
  3. Step 3: Cross multiply
    1,318.85x = 1,978.56 × 1,084.98
  4. Step 4: Simplify right side
    1,318.85x = 2,146,698.03
  5. Step 5: Solve for x
    x = 2,146,698.03/1,318.85
  6. Step 6: Final answer
    x = 1,627.71

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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.