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Finding the Fourth Proportional to 886.13, 1,322.56 and 827.81

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Solution

The fourth proportional to 886.13, 1,322.56 and 827.81 is: 1,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.13 : 1,322.56 = 827.81 : x
  2. Step 2: Convert to fraction form
    886.13/1,322.56 = 827.81/x
  3. Step 3: Cross multiply
    886.13x = 1,322.56 × 827.81
  4. Step 4: Simplify right side
    886.13x = 1,094,828.39
  5. Step 5: Solve for x
    x = 1,094,828.39/886.13
  6. Step 6: Final answer
    x = 1,235.52

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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.