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Finding the Fourth Proportional to 670.28, 925.22 and 422

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Solution

The fourth proportional to 670.28, 925.22 and 422 is: 582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.28 : 925.22 = 422 : x
  2. Step 2: Convert to fraction form
    670.28/925.22 = 422/x
  3. Step 3: Cross multiply
    670.28x = 925.22 × 422
  4. Step 4: Simplify right side
    670.28x = 390,442.84
  5. Step 5: Solve for x
    x = 390,442.84/670.28
  6. Step 6: Final answer
    x = 582.51

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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.