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Finding the Fourth Proportional to 598.62, 825.93 and 402.42

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Solution

The fourth proportional to 598.62, 825.93 and 402.42 is: 555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.62 : 825.93 = 402.42 : x
  2. Step 2: Convert to fraction form
    598.62/825.93 = 402.42/x
  3. Step 3: Cross multiply
    598.62x = 825.93 × 402.42
  4. Step 4: Simplify right side
    598.62x = 332,370.75
  5. Step 5: Solve for x
    x = 332,370.75/598.62
  6. Step 6: Final answer
    x = 555.23

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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.