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Finding the Fourth Proportional to 1,098.99, 1,648.49 and 449.73

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Solution

The fourth proportional to 1,098.99, 1,648.49 and 449.73 is: 674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.99 : 1,648.49 = 449.73 : x
  2. Step 2: Convert to fraction form
    1,098.99/1,648.49 = 449.73/x
  3. Step 3: Cross multiply
    1,098.99x = 1,648.49 × 449.73
  4. Step 4: Simplify right side
    1,098.99x = 741,373.16
  5. Step 5: Solve for x
    x = 741,373.16/1,098.99
  6. Step 6: Final answer
    x = 674.60

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.