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Finding the Fourth Proportional to 2,406.30, 3,609.54 and 674.88

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Solution

The fourth proportional to 2,406.30, 3,609.54 and 674.88 is: 1,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.30 : 3,609.54 = 674.88 : x
  2. Step 2: Convert to fraction form
    2,406.30/3,609.54 = 674.88/x
  3. Step 3: Cross multiply
    2,406.30x = 3,609.54 × 674.88
  4. Step 4: Simplify right side
    2,406.30x = 2,436,006.36
  5. Step 5: Solve for x
    x = 2,436,006.36/2,406.30
  6. Step 6: Final answer
    x = 1,012.35

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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.