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Finding the Fourth Proportional to 823.72, 1,229.41 and 713.64

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Solution

The fourth proportional to 823.72, 1,229.41 and 713.64 is: 1,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.72 : 1,229.41 = 713.64 : x
  2. Step 2: Convert to fraction form
    823.72/1,229.41 = 713.64/x
  3. Step 3: Cross multiply
    823.72x = 1,229.41 × 713.64
  4. Step 4: Simplify right side
    823.72x = 877,356.15
  5. Step 5: Solve for x
    x = 877,356.15/823.72
  6. Step 6: Final answer
    x = 1,065.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.