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Finding the Fourth Proportional to 778.09, 1,167.33 and 345.14

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Solution

The fourth proportional to 778.09, 1,167.33 and 345.14 is: 517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.09 : 1,167.33 = 345.14 : x
  2. Step 2: Convert to fraction form
    778.09/1,167.33 = 345.14/x
  3. Step 3: Cross multiply
    778.09x = 1,167.33 × 345.14
  4. Step 4: Simplify right side
    778.09x = 402,892.28
  5. Step 5: Solve for x
    x = 402,892.28/778.09
  6. Step 6: Final answer
    x = 517.80

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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.