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Finding the Fourth Proportional to 866.56, 1,293.13 and 774.27

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Solution

The fourth proportional to 866.56, 1,293.13 and 774.27 is: 1,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.56 : 1,293.13 = 774.27 : x
  2. Step 2: Convert to fraction form
    866.56/1,293.13 = 774.27/x
  3. Step 3: Cross multiply
    866.56x = 1,293.13 × 774.27
  4. Step 4: Simplify right side
    866.56x = 1,001,231.77
  5. Step 5: Solve for x
    x = 1,001,231.77/866.56
  6. Step 6: Final answer
    x = 1,155.41

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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.