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Finding the Fourth Proportional to 1,318.92, 1,979.71 and 661.26

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Solution

The fourth proportional to 1,318.92, 1,979.71 and 661.26 is: 992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.92 : 1,979.71 = 661.26 : x
  2. Step 2: Convert to fraction form
    1,318.92/1,979.71 = 661.26/x
  3. Step 3: Cross multiply
    1,318.92x = 1,979.71 × 661.26
  4. Step 4: Simplify right side
    1,318.92x = 1,309,110.20
  5. Step 5: Solve for x
    x = 1,309,110.20/1,318.92
  6. Step 6: Final answer
    x = 992.56

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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.