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Finding the Fourth Proportional to 944.92, 1,412.41 and 820.54

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Solution

The fourth proportional to 944.92, 1,412.41 and 820.54 is: 1,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.92 : 1,412.41 = 820.54 : x
  2. Step 2: Convert to fraction form
    944.92/1,412.41 = 820.54/x
  3. Step 3: Cross multiply
    944.92x = 1,412.41 × 820.54
  4. Step 4: Simplify right side
    944.92x = 1,158,933.36
  5. Step 5: Solve for x
    x = 1,158,933.36/944.92
  6. Step 6: Final answer
    x = 1,226.49

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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.