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Finding the Fourth Proportional to 2,065.20, 3,098.28 and 604.38

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Solution

The fourth proportional to 2,065.20, 3,098.28 and 604.38 is: 906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.20 : 3,098.28 = 604.38 : x
  2. Step 2: Convert to fraction form
    2,065.20/3,098.28 = 604.38/x
  3. Step 3: Cross multiply
    2,065.20x = 3,098.28 × 604.38
  4. Step 4: Simplify right side
    2,065.20x = 1,872,538.47
  5. Step 5: Solve for x
    x = 1,872,538.47/2,065.20
  6. Step 6: Final answer
    x = 906.71

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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.