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Finding the Fourth Proportional to 944.78, 1,305.06 and 769.82

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Solution

The fourth proportional to 944.78, 1,305.06 and 769.82 is: 1,063.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.78 : 1,305.06 = 769.82 : x
  2. Step 2: Convert to fraction form
    944.78/1,305.06 = 769.82/x
  3. Step 3: Cross multiply
    944.78x = 1,305.06 × 769.82
  4. Step 4: Simplify right side
    944.78x = 1,004,661.29
  5. Step 5: Solve for x
    x = 1,004,661.29/944.78
  6. Step 6: Final answer
    x = 1,063.38

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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.