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Finding the Fourth Proportional to 598.49, 896.37 and 379.11

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Solution

The fourth proportional to 598.49, 896.37 and 379.11 is: 567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.49 : 896.37 = 379.11 : x
  2. Step 2: Convert to fraction form
    598.49/896.37 = 379.11/x
  3. Step 3: Cross multiply
    598.49x = 896.37 × 379.11
  4. Step 4: Simplify right side
    598.49x = 339,817.21
  5. Step 5: Solve for x
    x = 339,817.21/598.49
  6. Step 6: Final answer
    x = 567.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.