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Finding the Fourth Proportional to 764.55, 1,072.80 and 764.55

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Solution

The fourth proportional to 764.55, 1,072.80 and 764.55 is: 1,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.55 : 1,072.80 = 764.55 : x
  2. Step 2: Convert to fraction form
    764.55/1,072.80 = 764.55/x
  3. Step 3: Cross multiply
    764.55x = 1,072.80 × 764.55
  4. Step 4: Simplify right side
    764.55x = 820,209.24
  5. Step 5: Solve for x
    x = 820,209.24/764.55
  6. Step 6: Final answer
    x = 1,072.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.