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Finding the Fourth Proportional to 800.57, 1,200.67 and 338.23

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Solution

The fourth proportional to 800.57, 1,200.67 and 338.23 is: 507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.57 : 1,200.67 = 338.23 : x
  2. Step 2: Convert to fraction form
    800.57/1,200.67 = 338.23/x
  3. Step 3: Cross multiply
    800.57x = 1,200.67 × 338.23
  4. Step 4: Simplify right side
    800.57x = 406,102.61
  5. Step 5: Solve for x
    x = 406,102.61/800.57
  6. Step 6: Final answer
    x = 507.27

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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.