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Finding the Fourth Proportional to 2,353.78, 3,530.67 and 622.41

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Solution

The fourth proportional to 2,353.78, 3,530.67 and 622.41 is: 933.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.78 : 3,530.67 = 622.41 : x
  2. Step 2: Convert to fraction form
    2,353.78/3,530.67 = 622.41/x
  3. Step 3: Cross multiply
    2,353.78x = 3,530.67 × 622.41
  4. Step 4: Simplify right side
    2,353.78x = 2,197,524.31
  5. Step 5: Solve for x
    x = 2,197,524.31/2,353.78
  6. Step 6: Final answer
    x = 933.62

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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.