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Finding the Fourth Proportional to 2,453.18, 3,679.78 and 604.28

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Solution

The fourth proportional to 2,453.18, 3,679.78 and 604.28 is: 906.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.18 : 3,679.78 = 604.28 : x
  2. Step 2: Convert to fraction form
    2,453.18/3,679.78 = 604.28/x
  3. Step 3: Cross multiply
    2,453.18x = 3,679.78 × 604.28
  4. Step 4: Simplify right side
    2,453.18x = 2,223,617.46
  5. Step 5: Solve for x
    x = 2,223,617.46/2,453.18
  6. Step 6: Final answer
    x = 906.42

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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.