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Finding the Fourth Proportional to 854.28, 1,177.29 and 784.44

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Solution

The fourth proportional to 854.28, 1,177.29 and 784.44 is: 1,081.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.28 : 1,177.29 = 784.44 : x
  2. Step 2: Convert to fraction form
    854.28/1,177.29 = 784.44/x
  3. Step 3: Cross multiply
    854.28x = 1,177.29 × 784.44
  4. Step 4: Simplify right side
    854.28x = 923,513.37
  5. Step 5: Solve for x
    x = 923,513.37/854.28
  6. Step 6: Final answer
    x = 1,081.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.