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Finding the Fourth Proportional to 778.29, 1,168.20 and 606.83

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Solution

The fourth proportional to 778.29, 1,168.20 and 606.83 is: 910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.29 : 1,168.20 = 606.83 : x
  2. Step 2: Convert to fraction form
    778.29/1,168.20 = 606.83/x
  3. Step 3: Cross multiply
    778.29x = 1,168.20 × 606.83
  4. Step 4: Simplify right side
    778.29x = 708,892.97
  5. Step 5: Solve for x
    x = 708,892.97/778.29
  6. Step 6: Final answer
    x = 910.83

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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.