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Finding the Fourth Proportional to 598.91, 825.84 and 402.08

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Solution

The fourth proportional to 598.91, 825.84 and 402.08 is: 554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.91 : 825.84 = 402.08 : x
  2. Step 2: Convert to fraction form
    598.91/825.84 = 402.08/x
  3. Step 3: Cross multiply
    598.91x = 825.84 × 402.08
  4. Step 4: Simplify right side
    598.91x = 332,049.62
  5. Step 5: Solve for x
    x = 332,049.62/598.91
  6. Step 6: Final answer
    x = 554.43

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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.