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Finding the Fourth Proportional to 2,338.29, 3,506.83 and 694.40

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Solution

The fourth proportional to 2,338.29, 3,506.83 and 694.40 is: 1,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.29 : 3,506.83 = 694.40 : x
  2. Step 2: Convert to fraction form
    2,338.29/3,506.83 = 694.40/x
  3. Step 3: Cross multiply
    2,338.29x = 3,506.83 × 694.40
  4. Step 4: Simplify right side
    2,338.29x = 2,435,123.48
  5. Step 5: Solve for x
    x = 2,435,123.48/2,338.29
  6. Step 6: Final answer
    x = 1,041.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.