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Finding the Fourth Proportional to 2,378.81, 3,568.42 and 623.81

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Solution

The fourth proportional to 2,378.81, 3,568.42 and 623.81 is: 935.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.81 : 3,568.42 = 623.81 : x
  2. Step 2: Convert to fraction form
    2,378.81/3,568.42 = 623.81/x
  3. Step 3: Cross multiply
    2,378.81x = 3,568.42 × 623.81
  4. Step 4: Simplify right side
    2,378.81x = 2,226,016.08
  5. Step 5: Solve for x
    x = 2,226,016.08/2,378.81
  6. Step 6: Final answer
    x = 935.77

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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.