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Finding the Fourth Proportional to 1,440.66, 2,161.18 and 660.48

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Solution

The fourth proportional to 1,440.66, 2,161.18 and 660.48 is: 990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.66 : 2,161.18 = 660.48 : x
  2. Step 2: Convert to fraction form
    1,440.66/2,161.18 = 660.48/x
  3. Step 3: Cross multiply
    1,440.66x = 2,161.18 × 660.48
  4. Step 4: Simplify right side
    1,440.66x = 1,427,416.17
  5. Step 5: Solve for x
    x = 1,427,416.17/1,440.66
  6. Step 6: Final answer
    x = 990.81

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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.