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Finding the Fourth Proportional to 805, 1,205.22 and 557.65

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Solution

The fourth proportional to 805, 1,205.22 and 557.65 is: 834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    805 : 1,205.22 = 557.65 : x
  2. Step 2: Convert to fraction form
    805/1,205.22 = 557.65/x
  3. Step 3: Cross multiply
    805x = 1,205.22 × 557.65
  4. Step 4: Simplify right side
    805x = 672,090.93
  5. Step 5: Solve for x
    x = 672,090.93/805
  6. Step 6: Final answer
    x = 834.90

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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.