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Finding the Fourth Proportional to 944.39, 1,410.23 and 771.41

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Solution

The fourth proportional to 944.39, 1,410.23 and 771.41 is: 1,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.39 : 1,410.23 = 771.41 : x
  2. Step 2: Convert to fraction form
    944.39/1,410.23 = 771.41/x
  3. Step 3: Cross multiply
    944.39x = 1,410.23 × 771.41
  4. Step 4: Simplify right side
    944.39x = 1,087,858.47
  5. Step 5: Solve for x
    x = 1,087,858.47/944.39
  6. Step 6: Final answer
    x = 1,151.91

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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.