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Finding the Fourth Proportional to 823.26, 1,135.65 and 523.95

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Solution

The fourth proportional to 823.26, 1,135.65 and 523.95 is: 722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.26 : 1,135.65 = 523.95 : x
  2. Step 2: Convert to fraction form
    823.26/1,135.65 = 523.95/x
  3. Step 3: Cross multiply
    823.26x = 1,135.65 × 523.95
  4. Step 4: Simplify right side
    823.26x = 595,023.82
  5. Step 5: Solve for x
    x = 595,023.82/823.26
  6. Step 6: Final answer
    x = 722.77

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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.