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Finding the Fourth Proportional to 435.10, 598.38 and 379.87

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Solution

The fourth proportional to 435.10, 598.38 and 379.87 is: 522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.10 : 598.38 = 379.87 : x
  2. Step 2: Convert to fraction form
    435.10/598.38 = 379.87/x
  3. Step 3: Cross multiply
    435.10x = 598.38 × 379.87
  4. Step 4: Simplify right side
    435.10x = 227,306.61
  5. Step 5: Solve for x
    x = 227,306.61/435.10
  6. Step 6: Final answer
    x = 522.42

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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.