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Finding the Fourth Proportional to 1,634.77, 2,451.48 and 660.61

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Solution

The fourth proportional to 1,634.77, 2,451.48 and 660.61 is: 990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.77 : 2,451.48 = 660.61 : x
  2. Step 2: Convert to fraction form
    1,634.77/2,451.48 = 660.61/x
  3. Step 3: Cross multiply
    1,634.77x = 2,451.48 × 660.61
  4. Step 4: Simplify right side
    1,634.77x = 1,619,472.20
  5. Step 5: Solve for x
    x = 1,619,472.20/1,634.77
  6. Step 6: Final answer
    x = 990.64

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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.