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Finding the Fourth Proportional to 2,439.19, 3,658.17 and 683.74

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Solution

The fourth proportional to 2,439.19, 3,658.17 and 683.74 is: 1,025.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.19 : 3,658.17 = 683.74 : x
  2. Step 2: Convert to fraction form
    2,439.19/3,658.17 = 683.74/x
  3. Step 3: Cross multiply
    2,439.19x = 3,658.17 × 683.74
  4. Step 4: Simplify right side
    2,439.19x = 2,501,228.01
  5. Step 5: Solve for x
    x = 2,501,228.01/2,439.19
  6. Step 6: Final answer
    x = 1,025.43

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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.