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Finding the Fourth Proportional to 814.86, 1,222.49 and 668.86

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Solution

The fourth proportional to 814.86, 1,222.49 and 668.86 is: 1,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.86 : 1,222.49 = 668.86 : x
  2. Step 2: Convert to fraction form
    814.86/1,222.49 = 668.86/x
  3. Step 3: Cross multiply
    814.86x = 1,222.49 × 668.86
  4. Step 4: Simplify right side
    814.86x = 817,673.28
  5. Step 5: Solve for x
    x = 817,673.28/814.86
  6. Step 6: Final answer
    x = 1,003.45

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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.