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Finding the Fourth Proportional to 778.20, 1,071.80 and 612.16

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Solution

The fourth proportional to 778.20, 1,071.80 and 612.16 is: 843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.20 : 1,071.80 = 612.16 : x
  2. Step 2: Convert to fraction form
    778.20/1,071.80 = 612.16/x
  3. Step 3: Cross multiply
    778.20x = 1,071.80 × 612.16
  4. Step 4: Simplify right side
    778.20x = 656,113.09
  5. Step 5: Solve for x
    x = 656,113.09/778.20
  6. Step 6: Final answer
    x = 843.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.