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Finding the Fourth Proportional to 670.28, 925.26 and 422.18

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Solution

The fourth proportional to 670.28, 925.26 and 422.18 is: 582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.28 : 925.26 = 422.18 : x
  2. Step 2: Convert to fraction form
    670.28/925.26 = 422.18/x
  3. Step 3: Cross multiply
    670.28x = 925.26 × 422.18
  4. Step 4: Simplify right side
    670.28x = 390,626.27
  5. Step 5: Solve for x
    x = 390,626.27/670.28
  6. Step 6: Final answer
    x = 582.78

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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.