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Finding the Fourth Proportional to 1,308.80, 1,963.12 and 443.12

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Solution

The fourth proportional to 1,308.80, 1,963.12 and 443.12 is: 664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.80 : 1,963.12 = 443.12 : x
  2. Step 2: Convert to fraction form
    1,308.80/1,963.12 = 443.12/x
  3. Step 3: Cross multiply
    1,308.80x = 1,963.12 × 443.12
  4. Step 4: Simplify right side
    1,308.80x = 869,897.73
  5. Step 5: Solve for x
    x = 869,897.73/1,308.80
  6. Step 6: Final answer
    x = 664.65

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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.