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Finding the Fourth Proportional to 1,313.27, 1,967.99 and 663.11

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Solution

The fourth proportional to 1,313.27, 1,967.99 and 663.11 is: 993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.27 : 1,967.99 = 663.11 : x
  2. Step 2: Convert to fraction form
    1,313.27/1,967.99 = 663.11/x
  3. Step 3: Cross multiply
    1,313.27x = 1,967.99 × 663.11
  4. Step 4: Simplify right side
    1,313.27x = 1,304,980.69
  5. Step 5: Solve for x
    x = 1,304,980.69/1,313.27
  6. Step 6: Final answer
    x = 993.69

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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.