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Finding the Fourth Proportional to 886.53, 1,322.87 and 794.29

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Solution

The fourth proportional to 886.53, 1,322.87 and 794.29 is: 1,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.53 : 1,322.87 = 794.29 : x
  2. Step 2: Convert to fraction form
    886.53/1,322.87 = 794.29/x
  3. Step 3: Cross multiply
    886.53x = 1,322.87 × 794.29
  4. Step 4: Simplify right side
    886.53x = 1,050,742.41
  5. Step 5: Solve for x
    x = 1,050,742.41/886.53
  6. Step 6: Final answer
    x = 1,185.23

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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.