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Finding the Fourth Proportional to 944.89, 1,417.41 and 251.54

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Solution

The fourth proportional to 944.89, 1,417.41 and 251.54 is: 377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.89 : 1,417.41 = 251.54 : x
  2. Step 2: Convert to fraction form
    944.89/1,417.41 = 251.54/x
  3. Step 3: Cross multiply
    944.89x = 1,417.41 × 251.54
  4. Step 4: Simplify right side
    944.89x = 356,535.31
  5. Step 5: Solve for x
    x = 356,535.31/944.89
  6. Step 6: Final answer
    x = 377.33

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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.