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Finding the Fourth Proportional to 2,455.31, 3,682.87 and 606.38

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Solution

The fourth proportional to 2,455.31, 3,682.87 and 606.38 is: 909.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.31 : 3,682.87 = 606.38 : x
  2. Step 2: Convert to fraction form
    2,455.31/3,682.87 = 606.38/x
  3. Step 3: Cross multiply
    2,455.31x = 3,682.87 × 606.38
  4. Step 4: Simplify right side
    2,455.31x = 2,233,227.87
  5. Step 5: Solve for x
    x = 2,233,227.87/2,455.31
  6. Step 6: Final answer
    x = 909.55

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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.