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Finding the Fourth Proportional to 1,660.55, 2,491.15 and 490.57

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Solution

The fourth proportional to 1,660.55, 2,491.15 and 490.57 is: 735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.55 : 2,491.15 = 490.57 : x
  2. Step 2: Convert to fraction form
    1,660.55/2,491.15 = 490.57/x
  3. Step 3: Cross multiply
    1,660.55x = 2,491.15 × 490.57
  4. Step 4: Simplify right side
    1,660.55x = 1,222,090.91
  5. Step 5: Solve for x
    x = 1,222,090.91/1,660.55
  6. Step 6: Final answer
    x = 735.96

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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.