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Finding the Fourth Proportional to 814.69, 1,222.03 and 294.57

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Solution

The fourth proportional to 814.69, 1,222.03 and 294.57 is: 441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.69 : 1,222.03 = 294.57 : x
  2. Step 2: Convert to fraction form
    814.69/1,222.03 = 294.57/x
  3. Step 3: Cross multiply
    814.69x = 1,222.03 × 294.57
  4. Step 4: Simplify right side
    814.69x = 359,967.28
  5. Step 5: Solve for x
    x = 359,967.28/814.69
  6. Step 6: Final answer
    x = 441.85

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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.