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Finding the Fourth Proportional to 1,308.36, 1,963.31 and 487.21

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Solution

The fourth proportional to 1,308.36, 1,963.31 and 487.21 is: 731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.36 : 1,963.31 = 487.21 : x
  2. Step 2: Convert to fraction form
    1,308.36/1,963.31 = 487.21/x
  3. Step 3: Cross multiply
    1,308.36x = 1,963.31 × 487.21
  4. Step 4: Simplify right side
    1,308.36x = 956,544.27
  5. Step 5: Solve for x
    x = 956,544.27/1,308.36
  6. Step 6: Final answer
    x = 731.10

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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.