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Finding the Fourth Proportional to 2,420.46, 3,631.28 and 689.09

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Solution

The fourth proportional to 2,420.46, 3,631.28 and 689.09 is: 1,033.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.46 : 3,631.28 = 689.09 : x
  2. Step 2: Convert to fraction form
    2,420.46/3,631.28 = 689.09/x
  3. Step 3: Cross multiply
    2,420.46x = 3,631.28 × 689.09
  4. Step 4: Simplify right side
    2,420.46x = 2,502,257.13
  5. Step 5: Solve for x
    x = 2,502,257.13/2,420.46
  6. Step 6: Final answer
    x = 1,033.79

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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.