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Finding the Fourth Proportional to 935.25, 1,408.49 and 821.11

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Solution

The fourth proportional to 935.25, 1,408.49 and 821.11 is: 1,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.25 : 1,408.49 = 821.11 : x
  2. Step 2: Convert to fraction form
    935.25/1,408.49 = 821.11/x
  3. Step 3: Cross multiply
    935.25x = 1,408.49 × 821.11
  4. Step 4: Simplify right side
    935.25x = 1,156,527.28
  5. Step 5: Solve for x
    x = 1,156,527.28/935.25
  6. Step 6: Final answer
    x = 1,236.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.