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Finding the Fourth Proportional to 778.98, 1,168.68 and 482.83

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Solution

The fourth proportional to 778.98, 1,168.68 and 482.83 is: 724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.98 : 1,168.68 = 482.83 : x
  2. Step 2: Convert to fraction form
    778.98/1,168.68 = 482.83/x
  3. Step 3: Cross multiply
    778.98x = 1,168.68 × 482.83
  4. Step 4: Simplify right side
    778.98x = 564,269.94
  5. Step 5: Solve for x
    x = 564,269.94/778.98
  6. Step 6: Final answer
    x = 724.37

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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.