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Finding the Fourth Proportional to 1,033.77, 1,426.79 and 660.66

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Solution

The fourth proportional to 1,033.77, 1,426.79 and 660.66 is: 911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.77 : 1,426.79 = 660.66 : x
  2. Step 2: Convert to fraction form
    1,033.77/1,426.79 = 660.66/x
  3. Step 3: Cross multiply
    1,033.77x = 1,426.79 × 660.66
  4. Step 4: Simplify right side
    1,033.77x = 942,623.08
  5. Step 5: Solve for x
    x = 942,623.08/1,033.77
  6. Step 6: Final answer
    x = 911.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.