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Finding the Fourth Proportional to 1,308.84, 1,963.24 and 443.76

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Solution

The fourth proportional to 1,308.84, 1,963.24 and 443.76 is: 665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.84 : 1,963.24 = 443.76 : x
  2. Step 2: Convert to fraction form
    1,308.84/1,963.24 = 443.76/x
  3. Step 3: Cross multiply
    1,308.84x = 1,963.24 × 443.76
  4. Step 4: Simplify right side
    1,308.84x = 871,207.38
  5. Step 5: Solve for x
    x = 871,207.38/1,308.84
  6. Step 6: Final answer
    x = 665.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.