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Finding the Fourth Proportional to 808.32, 1,212.20 and 499.70

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Solution

The fourth proportional to 808.32, 1,212.20 and 499.70 is: 749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.32 : 1,212.20 = 499.70 : x
  2. Step 2: Convert to fraction form
    808.32/1,212.20 = 499.70/x
  3. Step 3: Cross multiply
    808.32x = 1,212.20 × 499.70
  4. Step 4: Simplify right side
    808.32x = 605,736.34
  5. Step 5: Solve for x
    x = 605,736.34/808.32
  6. Step 6: Final answer
    x = 749.38

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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.