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Finding the Fourth Proportional to 793.34, 1,187.20 and 574.22

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Solution

The fourth proportional to 793.34, 1,187.20 and 574.22 is: 859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.34 : 1,187.20 = 574.22 : x
  2. Step 2: Convert to fraction form
    793.34/1,187.20 = 574.22/x
  3. Step 3: Cross multiply
    793.34x = 1,187.20 × 574.22
  4. Step 4: Simplify right side
    793.34x = 681,713.98
  5. Step 5: Solve for x
    x = 681,713.98/793.34
  6. Step 6: Final answer
    x = 859.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.