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Finding the Fourth Proportional to 807.36, 1,211.78 and 764.63

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Solution

The fourth proportional to 807.36, 1,211.78 and 764.63 is: 1,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.36 : 1,211.78 = 764.63 : x
  2. Step 2: Convert to fraction form
    807.36/1,211.78 = 764.63/x
  3. Step 3: Cross multiply
    807.36x = 1,211.78 × 764.63
  4. Step 4: Simplify right side
    807.36x = 926,563.34
  5. Step 5: Solve for x
    x = 926,563.34/807.36
  6. Step 6: Final answer
    x = 1,147.65

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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.