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Finding the Fourth Proportional to 1,842.78, 2,764.99 and 610.37

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Solution

The fourth proportional to 1,842.78, 2,764.99 and 610.37 is: 915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.78 : 2,764.99 = 610.37 : x
  2. Step 2: Convert to fraction form
    1,842.78/2,764.99 = 610.37/x
  3. Step 3: Cross multiply
    1,842.78x = 2,764.99 × 610.37
  4. Step 4: Simplify right side
    1,842.78x = 1,687,660.82
  5. Step 5: Solve for x
    x = 1,687,660.82/1,842.78
  6. Step 6: Final answer
    x = 915.82

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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.