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Finding the Fourth Proportional to 823.43, 1,135.77 and 529.05

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Solution

The fourth proportional to 823.43, 1,135.77 and 529.05 is: 729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.43 : 1,135.77 = 529.05 : x
  2. Step 2: Convert to fraction form
    823.43/1,135.77 = 529.05/x
  3. Step 3: Cross multiply
    823.43x = 1,135.77 × 529.05
  4. Step 4: Simplify right side
    823.43x = 600,879.12
  5. Step 5: Solve for x
    x = 600,879.12/823.43
  6. Step 6: Final answer
    x = 729.73

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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.