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Finding the Fourth Proportional to 497.02, 685.27 and 422.20

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Solution

The fourth proportional to 497.02, 685.27 and 422.20 is: 582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.02 : 685.27 = 422.20 : x
  2. Step 2: Convert to fraction form
    497.02/685.27 = 422.20/x
  3. Step 3: Cross multiply
    497.02x = 685.27 × 422.20
  4. Step 4: Simplify right side
    497.02x = 289,320.99
  5. Step 5: Solve for x
    x = 289,320.99/497.02
  6. Step 6: Final answer
    x = 582.11

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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.