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Finding the Fourth Proportional to 2,326.90, 3,490.94 and 683.50

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Solution

The fourth proportional to 2,326.90, 3,490.94 and 683.50 is: 1,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.90 : 3,490.94 = 683.50 : x
  2. Step 2: Convert to fraction form
    2,326.90/3,490.94 = 683.50/x
  3. Step 3: Cross multiply
    2,326.90x = 3,490.94 × 683.50
  4. Step 4: Simplify right side
    2,326.90x = 2,386,057.49
  5. Step 5: Solve for x
    x = 2,386,057.49/2,326.90
  6. Step 6: Final answer
    x = 1,025.42

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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.