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Finding the Fourth Proportional to 2,359.38, 3,538.97 and 628.01

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Solution

The fourth proportional to 2,359.38, 3,538.97 and 628.01 is: 941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.38 : 3,538.97 = 628.01 : x
  2. Step 2: Convert to fraction form
    2,359.38/3,538.97 = 628.01/x
  3. Step 3: Cross multiply
    2,359.38x = 3,538.97 × 628.01
  4. Step 4: Simplify right side
    2,359.38x = 2,222,508.55
  5. Step 5: Solve for x
    x = 2,222,508.55/2,359.38
  6. Step 6: Final answer
    x = 941.99

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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.