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Finding the Fourth Proportional to 1,318.64, 1,976.99 and 798.53

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Solution

The fourth proportional to 1,318.64, 1,976.99 and 798.53 is: 1,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.64 : 1,976.99 = 798.53 : x
  2. Step 2: Convert to fraction form
    1,318.64/1,976.99 = 798.53/x
  3. Step 3: Cross multiply
    1,318.64x = 1,976.99 × 798.53
  4. Step 4: Simplify right side
    1,318.64x = 1,578,671.95
  5. Step 5: Solve for x
    x = 1,578,671.95/1,318.64
  6. Step 6: Final answer
    x = 1,197.19

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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.