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Finding the Fourth Proportional to 814.93, 1,221.50 and 404.37

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Solution

The fourth proportional to 814.93, 1,221.50 and 404.37 is: 606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.93 : 1,221.50 = 404.37 : x
  2. Step 2: Convert to fraction form
    814.93/1,221.50 = 404.37/x
  3. Step 3: Cross multiply
    814.93x = 1,221.50 × 404.37
  4. Step 4: Simplify right side
    814.93x = 493,938.97
  5. Step 5: Solve for x
    x = 493,938.97/814.93
  6. Step 6: Final answer
    x = 606.11

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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.