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Finding the Fourth Proportional to 800.81, 1,202.33 and 528.65

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Solution

The fourth proportional to 800.81, 1,202.33 and 528.65 is: 793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.81 : 1,202.33 = 528.65 : x
  2. Step 2: Convert to fraction form
    800.81/1,202.33 = 528.65/x
  3. Step 3: Cross multiply
    800.81x = 1,202.33 × 528.65
  4. Step 4: Simplify right side
    800.81x = 635,611.75
  5. Step 5: Solve for x
    x = 635,611.75/800.81
  6. Step 6: Final answer
    x = 793.71

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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.