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Finding the Fourth Proportional to 1,308.74, 1,963.10 and 443.66

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Solution

The fourth proportional to 1,308.74, 1,963.10 and 443.66 is: 665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.74 : 1,963.10 = 443.66 : x
  2. Step 2: Convert to fraction form
    1,308.74/1,963.10 = 443.66/x
  3. Step 3: Cross multiply
    1,308.74x = 1,963.10 × 443.66
  4. Step 4: Simplify right side
    1,308.74x = 870,940.24
  5. Step 5: Solve for x
    x = 870,940.24/1,308.74
  6. Step 6: Final answer
    x = 665.48

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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.