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Finding the Fourth Proportional to 873.36, 1,299.33 and 821.52

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Solution

The fourth proportional to 873.36, 1,299.33 and 821.52 is: 1,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.36 : 1,299.33 = 821.52 : x
  2. Step 2: Convert to fraction form
    873.36/1,299.33 = 821.52/x
  3. Step 3: Cross multiply
    873.36x = 1,299.33 × 821.52
  4. Step 4: Simplify right side
    873.36x = 1,067,425.58
  5. Step 5: Solve for x
    x = 1,067,425.58/873.36
  6. Step 6: Final answer
    x = 1,222.21

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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.