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Finding the Fourth Proportional to 839.13, 1,157.34 and 540.41

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Solution

The fourth proportional to 839.13, 1,157.34 and 540.41 is: 745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.13 : 1,157.34 = 540.41 : x
  2. Step 2: Convert to fraction form
    839.13/1,157.34 = 540.41/x
  3. Step 3: Cross multiply
    839.13x = 1,157.34 × 540.41
  4. Step 4: Simplify right side
    839.13x = 625,431.47
  5. Step 5: Solve for x
    x = 625,431.47/839.13
  6. Step 6: Final answer
    x = 745.33

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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.