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Finding the Fourth Proportional to 807.77, 1,211.86 and 320.86

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Solution

The fourth proportional to 807.77, 1,211.86 and 320.86 is: 481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.77 : 1,211.86 = 320.86 : x
  2. Step 2: Convert to fraction form
    807.77/1,211.86 = 320.86/x
  3. Step 3: Cross multiply
    807.77x = 1,211.86 × 320.86
  4. Step 4: Simplify right side
    807.77x = 388,839.32
  5. Step 5: Solve for x
    x = 388,839.32/807.77
  6. Step 6: Final answer
    x = 481.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.