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Finding the Fourth Proportional to 877.52, 1,211.36 and 822.24

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Solution

The fourth proportional to 877.52, 1,211.36 and 822.24 is: 1,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.52 : 1,211.36 = 822.24 : x
  2. Step 2: Convert to fraction form
    877.52/1,211.36 = 822.24/x
  3. Step 3: Cross multiply
    877.52x = 1,211.36 × 822.24
  4. Step 4: Simplify right side
    877.52x = 996,028.65
  5. Step 5: Solve for x
    x = 996,028.65/877.52
  6. Step 6: Final answer
    x = 1,135.05

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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.