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Finding the Fourth Proportional to 1,033.91, 1,426.79 and 561.80

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Solution

The fourth proportional to 1,033.91, 1,426.79 and 561.80 is: 775.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.91 : 1,426.79 = 561.80 : x
  2. Step 2: Convert to fraction form
    1,033.91/1,426.79 = 561.80/x
  3. Step 3: Cross multiply
    1,033.91x = 1,426.79 × 561.80
  4. Step 4: Simplify right side
    1,033.91x = 801,570.62
  5. Step 5: Solve for x
    x = 801,570.62/1,033.91
  6. Step 6: Final answer
    x = 775.28

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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.