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Finding the Fourth Proportional to 809.42, 1,115.44 and 576.14

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Solution

The fourth proportional to 809.42, 1,115.44 and 576.14 is: 793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.42 : 1,115.44 = 576.14 : x
  2. Step 2: Convert to fraction form
    809.42/1,115.44 = 576.14/x
  3. Step 3: Cross multiply
    809.42x = 1,115.44 × 576.14
  4. Step 4: Simplify right side
    809.42x = 642,642.58
  5. Step 5: Solve for x
    x = 642,642.58/809.42
  6. Step 6: Final answer
    x = 793.96

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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.