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Finding the Fourth Proportional to 1,313.31, 1,971.12 and 764.73

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Solution

The fourth proportional to 1,313.31, 1,971.12 and 764.73 is: 1,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.31 : 1,971.12 = 764.73 : x
  2. Step 2: Convert to fraction form
    1,313.31/1,971.12 = 764.73/x
  3. Step 3: Cross multiply
    1,313.31x = 1,971.12 × 764.73
  4. Step 4: Simplify right side
    1,313.31x = 1,507,374.60
  5. Step 5: Solve for x
    x = 1,507,374.60/1,313.31
  6. Step 6: Final answer
    x = 1,147.77

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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.