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Finding the Fourth Proportional to 778.36, 1,167.01 and 431.48

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Solution

The fourth proportional to 778.36, 1,167.01 and 431.48 is: 646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.36 : 1,167.01 = 431.48 : x
  2. Step 2: Convert to fraction form
    778.36/1,167.01 = 431.48/x
  3. Step 3: Cross multiply
    778.36x = 1,167.01 × 431.48
  4. Step 4: Simplify right side
    778.36x = 503,536.75
  5. Step 5: Solve for x
    x = 503,536.75/778.36
  6. Step 6: Final answer
    x = 646.92

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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.