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Finding the Fourth Proportional to 886.73, 1,322.84 and 815.28

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Solution

The fourth proportional to 886.73, 1,322.84 and 815.28 is: 1,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.73 : 1,322.84 = 815.28 : x
  2. Step 2: Convert to fraction form
    886.73/1,322.84 = 815.28/x
  3. Step 3: Cross multiply
    886.73x = 1,322.84 × 815.28
  4. Step 4: Simplify right side
    886.73x = 1,078,480.92
  5. Step 5: Solve for x
    x = 1,078,480.92/886.73
  6. Step 6: Final answer
    x = 1,216.25

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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.