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Finding the Fourth Proportional to 1,648.82, 2,474.48 and 609.46

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Solution

The fourth proportional to 1,648.82, 2,474.48 and 609.46 is: 914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.82 : 2,474.48 = 609.46 : x
  2. Step 2: Convert to fraction form
    1,648.82/2,474.48 = 609.46/x
  3. Step 3: Cross multiply
    1,648.82x = 2,474.48 × 609.46
  4. Step 4: Simplify right side
    1,648.82x = 1,508,091.92
  5. Step 5: Solve for x
    x = 1,508,091.92/1,648.82
  6. Step 6: Final answer
    x = 914.65

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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.