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Finding the Fourth Proportional to 822.56, 1,232.62 and 547.65

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Solution

The fourth proportional to 822.56, 1,232.62 and 547.65 is: 820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.56 : 1,232.62 = 547.65 : x
  2. Step 2: Convert to fraction form
    822.56/1,232.62 = 547.65/x
  3. Step 3: Cross multiply
    822.56x = 1,232.62 × 547.65
  4. Step 4: Simplify right side
    822.56x = 675,042.97
  5. Step 5: Solve for x
    x = 675,042.97/822.56
  6. Step 6: Final answer
    x = 820.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.