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Finding the Fourth Proportional to 598.29, 825.49 and 398.72

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Solution

The fourth proportional to 598.29, 825.49 and 398.72 is: 550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.29 : 825.49 = 398.72 : x
  2. Step 2: Convert to fraction form
    598.29/825.49 = 398.72/x
  3. Step 3: Cross multiply
    598.29x = 825.49 × 398.72
  4. Step 4: Simplify right side
    598.29x = 329,141.93
  5. Step 5: Solve for x
    x = 329,141.93/598.29
  6. Step 6: Final answer
    x = 550.14

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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.