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Finding the Fourth Proportional to 758.26, 1,047.09 and 571.43

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Solution

The fourth proportional to 758.26, 1,047.09 and 571.43 is: 789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.26 : 1,047.09 = 571.43 : x
  2. Step 2: Convert to fraction form
    758.26/1,047.09 = 571.43/x
  3. Step 3: Cross multiply
    758.26x = 1,047.09 × 571.43
  4. Step 4: Simplify right side
    758.26x = 598,338.64
  5. Step 5: Solve for x
    x = 598,338.64/758.26
  6. Step 6: Final answer
    x = 789.09

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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.