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Finding the Fourth Proportional to 814.51, 1,221.47 and 294.39

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Solution

The fourth proportional to 814.51, 1,221.47 and 294.39 is: 441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.51 : 1,221.47 = 294.39 : x
  2. Step 2: Convert to fraction form
    814.51/1,221.47 = 294.39/x
  3. Step 3: Cross multiply
    814.51x = 1,221.47 × 294.39
  4. Step 4: Simplify right side
    814.51x = 359,584.75
  5. Step 5: Solve for x
    x = 359,584.75/814.51
  6. Step 6: Final answer
    x = 441.47

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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.