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Finding the Fourth Proportional to 598.09, 897.28 and 338.27

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Solution

The fourth proportional to 598.09, 897.28 and 338.27 is: 507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.09 : 897.28 = 338.27 : x
  2. Step 2: Convert to fraction form
    598.09/897.28 = 338.27/x
  3. Step 3: Cross multiply
    598.09x = 897.28 × 338.27
  4. Step 4: Simplify right side
    598.09x = 303,524.30
  5. Step 5: Solve for x
    x = 303,524.30/598.09
  6. Step 6: Final answer
    x = 507.49

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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.