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Finding the Fourth Proportional to 1,311.18, 1,966.97 and 661.56

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Solution

The fourth proportional to 1,311.18, 1,966.97 and 661.56 is: 992.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.18 : 1,966.97 = 661.56 : x
  2. Step 2: Convert to fraction form
    1,311.18/1,966.97 = 661.56/x
  3. Step 3: Cross multiply
    1,311.18x = 1,966.97 × 661.56
  4. Step 4: Simplify right side
    1,311.18x = 1,301,268.67
  5. Step 5: Solve for x
    x = 1,301,268.67/1,311.18
  6. Step 6: Final answer
    x = 992.44

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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.