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Finding the Fourth Proportional to 1,033.62, 1,426.49 and 591.43

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Solution

The fourth proportional to 1,033.62, 1,426.49 and 591.43 is: 816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.62 : 1,426.49 = 591.43 : x
  2. Step 2: Convert to fraction form
    1,033.62/1,426.49 = 591.43/x
  3. Step 3: Cross multiply
    1,033.62x = 1,426.49 × 591.43
  4. Step 4: Simplify right side
    1,033.62x = 843,668.98
  5. Step 5: Solve for x
    x = 843,668.98/1,033.62
  6. Step 6: Final answer
    x = 816.23

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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.