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Finding the Fourth Proportional to 891.42, 1,230.37 and 576.80

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Solution

The fourth proportional to 891.42, 1,230.37 and 576.80 is: 796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.42 : 1,230.37 = 576.80 : x
  2. Step 2: Convert to fraction form
    891.42/1,230.37 = 576.80/x
  3. Step 3: Cross multiply
    891.42x = 1,230.37 × 576.80
  4. Step 4: Simplify right side
    891.42x = 709,679.05
  5. Step 5: Solve for x
    x = 709,679.05/891.42
  6. Step 6: Final answer
    x = 796.12

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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.