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Finding the Fourth Proportional to 1,660.56, 2,491.20 and 620.88

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Solution

The fourth proportional to 1,660.56, 2,491.20 and 620.88 is: 931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.56 : 2,491.20 = 620.88 : x
  2. Step 2: Convert to fraction form
    1,660.56/2,491.20 = 620.88/x
  3. Step 3: Cross multiply
    1,660.56x = 2,491.20 × 620.88
  4. Step 4: Simplify right side
    1,660.56x = 1,546,736.26
  5. Step 5: Solve for x
    x = 1,546,736.26/1,660.56
  6. Step 6: Final answer
    x = 931.45

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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.