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Finding the Fourth Proportional to 823.26, 1,133.54 and 698.52

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Solution

The fourth proportional to 823.26, 1,133.54 and 698.52 is: 961.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.26 : 1,133.54 = 698.52 : x
  2. Step 2: Convert to fraction form
    823.26/1,133.54 = 698.52/x
  3. Step 3: Cross multiply
    823.26x = 1,133.54 × 698.52
  4. Step 4: Simplify right side
    823.26x = 791,800.36
  5. Step 5: Solve for x
    x = 791,800.36/823.26
  6. Step 6: Final answer
    x = 961.79

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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.