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Finding the Fourth Proportional to 944.93, 1,414.50 and 855.83

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Solution

The fourth proportional to 944.93, 1,414.50 and 855.83 is: 1,281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.93 : 1,414.50 = 855.83 : x
  2. Step 2: Convert to fraction form
    944.93/1,414.50 = 855.83/x
  3. Step 3: Cross multiply
    944.93x = 1,414.50 × 855.83
  4. Step 4: Simplify right side
    944.93x = 1,210,571.86
  5. Step 5: Solve for x
    x = 1,210,571.86/944.93
  6. Step 6: Final answer
    x = 1,281.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.