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Finding the Fourth Proportional to 598.80, 826.02 and 411.96

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Solution

The fourth proportional to 598.80, 826.02 and 411.96 is: 568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.80 : 826.02 = 411.96 : x
  2. Step 2: Convert to fraction form
    598.80/826.02 = 411.96/x
  3. Step 3: Cross multiply
    598.80x = 826.02 × 411.96
  4. Step 4: Simplify right side
    598.80x = 340,287.20
  5. Step 5: Solve for x
    x = 340,287.20/598.80
  6. Step 6: Final answer
    x = 568.28

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Similar ratio
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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.