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Finding the Fourth Proportional to 500.38, 690.84 and 326.22

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Solution

The fourth proportional to 500.38, 690.84 and 326.22 is: 450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.38 : 690.84 = 326.22 : x
  2. Step 2: Convert to fraction form
    500.38/690.84 = 326.22/x
  3. Step 3: Cross multiply
    500.38x = 690.84 × 326.22
  4. Step 4: Simplify right side
    500.38x = 225,365.82
  5. Step 5: Solve for x
    x = 225,365.82/500.38
  6. Step 6: Final answer
    x = 450.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.