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Finding the Fourth Proportional to 598.05, 825.54 and 401.49

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Solution

The fourth proportional to 598.05, 825.54 and 401.49 is: 554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.05 : 825.54 = 401.49 : x
  2. Step 2: Convert to fraction form
    598.05/825.54 = 401.49/x
  3. Step 3: Cross multiply
    598.05x = 825.54 × 401.49
  4. Step 4: Simplify right side
    598.05x = 331,446.05
  5. Step 5: Solve for x
    x = 331,446.05/598.05
  6. Step 6: Final answer
    x = 554.21

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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.