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Finding the Fourth Proportional to 866.94, 1,196.36 and 572.38

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Solution

The fourth proportional to 866.94, 1,196.36 and 572.38 is: 789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.94 : 1,196.36 = 572.38 : x
  2. Step 2: Convert to fraction form
    866.94/1,196.36 = 572.38/x
  3. Step 3: Cross multiply
    866.94x = 1,196.36 × 572.38
  4. Step 4: Simplify right side
    866.94x = 684,772.54
  5. Step 5: Solve for x
    x = 684,772.54/866.94
  6. Step 6: Final answer
    x = 789.87

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1.5x scale

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.