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Finding the Fourth Proportional to 819.93, 1,131.18 and 540.31

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Solution

The fourth proportional to 819.93, 1,131.18 and 540.31 is: 745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.93 : 1,131.18 = 540.31 : x
  2. Step 2: Convert to fraction form
    819.93/1,131.18 = 540.31/x
  3. Step 3: Cross multiply
    819.93x = 1,131.18 × 540.31
  4. Step 4: Simplify right side
    819.93x = 611,185.04
  5. Step 5: Solve for x
    x = 611,185.04/819.93
  6. Step 6: Final answer
    x = 745.41

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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.