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Finding the Fourth Proportional to 1,660.65, 2,490.10 and 490.49

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Solution

The fourth proportional to 1,660.65, 2,490.10 and 490.49 is: 735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.65 : 2,490.10 = 490.49 : x
  2. Step 2: Convert to fraction form
    1,660.65/2,490.10 = 490.49/x
  3. Step 3: Cross multiply
    1,660.65x = 2,490.10 × 490.49
  4. Step 4: Simplify right side
    1,660.65x = 1,221,381.58
  5. Step 5: Solve for x
    x = 1,221,381.58/1,660.65
  6. Step 6: Final answer
    x = 735.49

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Double scale
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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.