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Finding the Fourth Proportional to 2,353.38, 3,530.27 and 622

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Solution

The fourth proportional to 2,353.38, 3,530.27 and 622 is: 933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.38 : 3,530.27 = 622 : x
  2. Step 2: Convert to fraction form
    2,353.38/3,530.27 = 622/x
  3. Step 3: Cross multiply
    2,353.38x = 3,530.27 × 622
  4. Step 4: Simplify right side
    2,353.38x = 2,195,827.94
  5. Step 5: Solve for x
    x = 2,195,827.94/2,353.38
  6. Step 6: Final answer
    x = 933.05

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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.