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Finding the Fourth Proportional to 435.11, 598.64 and 379.97

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Solution

The fourth proportional to 435.11, 598.64 and 379.97 is: 522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.11 : 598.64 = 379.97 : x
  2. Step 2: Convert to fraction form
    435.11/598.64 = 379.97/x
  3. Step 3: Cross multiply
    435.11x = 598.64 × 379.97
  4. Step 4: Simplify right side
    435.11x = 227,468.10
  5. Step 5: Solve for x
    x = 227,468.10/435.11
  6. Step 6: Final answer
    x = 522.79

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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.