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Finding the Fourth Proportional to 808.01, 1,209.73 and 514.79

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Solution

The fourth proportional to 808.01, 1,209.73 and 514.79 is: 770.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.01 : 1,209.73 = 514.79 : x
  2. Step 2: Convert to fraction form
    808.01/1,209.73 = 514.79/x
  3. Step 3: Cross multiply
    808.01x = 1,209.73 × 514.79
  4. Step 4: Simplify right side
    808.01x = 622,756.91
  5. Step 5: Solve for x
    x = 622,756.91/808.01
  6. Step 6: Final answer
    x = 770.73

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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.