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Finding the Fourth Proportional to 2,052.48, 3,079.13 and 665.56

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Solution

The fourth proportional to 2,052.48, 3,079.13 and 665.56 is: 998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.48 : 3,079.13 = 665.56 : x
  2. Step 2: Convert to fraction form
    2,052.48/3,079.13 = 665.56/x
  3. Step 3: Cross multiply
    2,052.48x = 3,079.13 × 665.56
  4. Step 4: Simplify right side
    2,052.48x = 2,049,334.74
  5. Step 5: Solve for x
    x = 2,049,334.74/2,052.48
  6. Step 6: Final answer
    x = 998.47

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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.