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Finding the Fourth Proportional to 778.80, 1,166.82 and 662.16

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Solution

The fourth proportional to 778.80, 1,166.82 and 662.16 is: 992.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.80 : 1,166.82 = 662.16 : x
  2. Step 2: Convert to fraction form
    778.80/1,166.82 = 662.16/x
  3. Step 3: Cross multiply
    778.80x = 1,166.82 × 662.16
  4. Step 4: Simplify right side
    778.80x = 772,621.53
  5. Step 5: Solve for x
    x = 772,621.53/778.80
  6. Step 6: Final answer
    x = 992.07

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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.