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Finding the Fourth Proportional to 823.17, 1,135.43 and 527.97

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Solution

The fourth proportional to 823.17, 1,135.43 and 527.97 is: 728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.17 : 1,135.43 = 527.97 : x
  2. Step 2: Convert to fraction form
    823.17/1,135.43 = 527.97/x
  3. Step 3: Cross multiply
    823.17x = 1,135.43 × 527.97
  4. Step 4: Simplify right side
    823.17x = 599,467.30
  5. Step 5: Solve for x
    x = 599,467.30/823.17
  6. Step 6: Final answer
    x = 728.25

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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.