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Finding the Fourth Proportional to 944.37, 1,408.95 and 822.87

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Solution

The fourth proportional to 944.37, 1,408.95 and 822.87 is: 1,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.37 : 1,408.95 = 822.87 : x
  2. Step 2: Convert to fraction form
    944.37/1,408.95 = 822.87/x
  3. Step 3: Cross multiply
    944.37x = 1,408.95 × 822.87
  4. Step 4: Simplify right side
    944.37x = 1,159,382.69
  5. Step 5: Solve for x
    x = 1,159,382.69/944.37
  6. Step 6: Final answer
    x = 1,227.68

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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.