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Finding the Fourth Proportional to 598.94, 826.50 and 422.15

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Solution

The fourth proportional to 598.94, 826.50 and 422.15 is: 582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.94 : 826.50 = 422.15 : x
  2. Step 2: Convert to fraction form
    598.94/826.50 = 422.15/x
  3. Step 3: Cross multiply
    598.94x = 826.50 × 422.15
  4. Step 4: Simplify right side
    598.94x = 348,906.98
  5. Step 5: Solve for x
    x = 348,906.98/598.94
  6. Step 6: Final answer
    x = 582.54

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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.