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Finding the Fourth Proportional to 944.22, 1,408.32 and 821.52

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Solution

The fourth proportional to 944.22, 1,408.32 and 821.52 is: 1,225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.22 : 1,408.32 = 821.52 : x
  2. Step 2: Convert to fraction form
    944.22/1,408.32 = 821.52/x
  3. Step 3: Cross multiply
    944.22x = 1,408.32 × 821.52
  4. Step 4: Simplify right side
    944.22x = 1,156,963.05
  5. Step 5: Solve for x
    x = 1,156,963.05/944.22
  6. Step 6: Final answer
    x = 1,225.31

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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.