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Finding the Fourth Proportional to 886.56, 1,322.92 and 881.46

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Solution

The fourth proportional to 886.56, 1,322.92 and 881.46 is: 1,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.56 : 1,322.92 = 881.46 : x
  2. Step 2: Convert to fraction form
    886.56/1,322.92 = 881.46/x
  3. Step 3: Cross multiply
    886.56x = 1,322.92 × 881.46
  4. Step 4: Simplify right side
    886.56x = 1,166,101.06
  5. Step 5: Solve for x
    x = 1,166,101.06/886.56
  6. Step 6: Final answer
    x = 1,315.31

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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.