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Finding the Fourth Proportional to 778.14, 1,167.06 and 291.06

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Solution

The fourth proportional to 778.14, 1,167.06 and 291.06 is: 436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.14 : 1,167.06 = 291.06 : x
  2. Step 2: Convert to fraction form
    778.14/1,167.06 = 291.06/x
  3. Step 3: Cross multiply
    778.14x = 1,167.06 × 291.06
  4. Step 4: Simplify right side
    778.14x = 339,684.48
  5. Step 5: Solve for x
    x = 339,684.48/778.14
  6. Step 6: Final answer
    x = 436.53

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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.