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Finding the Fourth Proportional to 1,308.85, 1,963.48 and 431.09

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Solution

The fourth proportional to 1,308.85, 1,963.48 and 431.09 is: 646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.85 : 1,963.48 = 431.09 : x
  2. Step 2: Convert to fraction form
    1,308.85/1,963.48 = 431.09/x
  3. Step 3: Cross multiply
    1,308.85x = 1,963.48 × 431.09
  4. Step 4: Simplify right side
    1,308.85x = 846,442.04
  5. Step 5: Solve for x
    x = 846,442.04/1,308.85
  6. Step 6: Final answer
    x = 646.71

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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.