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Finding the Fourth Proportional to 497.21, 685.98 and 422.78

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Solution

The fourth proportional to 497.21, 685.98 and 422.78 is: 583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.21 : 685.98 = 422.78 : x
  2. Step 2: Convert to fraction form
    497.21/685.98 = 422.78/x
  3. Step 3: Cross multiply
    497.21x = 685.98 × 422.78
  4. Step 4: Simplify right side
    497.21x = 290,020.34
  5. Step 5: Solve for x
    x = 290,020.34/497.21
  6. Step 6: Final answer
    x = 583.29

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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.