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Finding the Fourth Proportional to 1,310.85, 1,968.30 and 764.10

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Solution

The fourth proportional to 1,310.85, 1,968.30 and 764.10 is: 1,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.85 : 1,968.30 = 764.10 : x
  2. Step 2: Convert to fraction form
    1,310.85/1,968.30 = 764.10/x
  3. Step 3: Cross multiply
    1,310.85x = 1,968.30 × 764.10
  4. Step 4: Simplify right side
    1,310.85x = 1,503,978.03
  5. Step 5: Solve for x
    x = 1,503,978.03/1,310.85
  6. Step 6: Final answer
    x = 1,147.33

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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.