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Finding the Fourth Proportional to 872.25, 1,310.24 and 547.84

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Solution

The fourth proportional to 872.25, 1,310.24 and 547.84 is: 822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.25 : 1,310.24 = 547.84 : x
  2. Step 2: Convert to fraction form
    872.25/1,310.24 = 547.84/x
  3. Step 3: Cross multiply
    872.25x = 1,310.24 × 547.84
  4. Step 4: Simplify right side
    872.25x = 717,804.89
  5. Step 5: Solve for x
    x = 717,804.89/872.25
  6. Step 6: Final answer
    x = 822.94

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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.