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Finding the Fourth Proportional to 823.11, 1,135.85 and 450.08

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Solution

The fourth proportional to 823.11, 1,135.85 and 450.08 is: 621.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.11 : 1,135.85 = 450.08 : x
  2. Step 2: Convert to fraction form
    823.11/1,135.85 = 450.08/x
  3. Step 3: Cross multiply
    823.11x = 1,135.85 × 450.08
  4. Step 4: Simplify right side
    823.11x = 511,223.37
  5. Step 5: Solve for x
    x = 511,223.37/823.11
  6. Step 6: Final answer
    x = 621.09

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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.