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Finding the Fourth Proportional to 1,033.80, 1,426.77 and 640.77

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Solution

The fourth proportional to 1,033.80, 1,426.77 and 640.77 is: 884.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.80 : 1,426.77 = 640.77 : x
  2. Step 2: Convert to fraction form
    1,033.80/1,426.77 = 640.77/x
  3. Step 3: Cross multiply
    1,033.80x = 1,426.77 × 640.77
  4. Step 4: Simplify right side
    1,033.80x = 914,231.41
  5. Step 5: Solve for x
    x = 914,231.41/1,033.80
  6. Step 6: Final answer
    x = 884.34

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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.