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Finding the Fourth Proportional to 823.01, 1,135.71 and 449.92

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Solution

The fourth proportional to 823.01, 1,135.71 and 449.92 is: 620.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.01 : 1,135.71 = 449.92 : x
  2. Step 2: Convert to fraction form
    823.01/1,135.71 = 449.92/x
  3. Step 3: Cross multiply
    823.01x = 1,135.71 × 449.92
  4. Step 4: Simplify right side
    823.01x = 510,978.64
  5. Step 5: Solve for x
    x = 510,978.64/823.01
  6. Step 6: Final answer
    x = 620.87

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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.