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Finding the Fourth Proportional to 501.11, 690.84 and 422.75

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Solution

The fourth proportional to 501.11, 690.84 and 422.75 is: 582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.11 : 690.84 = 422.75 : x
  2. Step 2: Convert to fraction form
    501.11/690.84 = 422.75/x
  3. Step 3: Cross multiply
    501.11x = 690.84 × 422.75
  4. Step 4: Simplify right side
    501.11x = 292,049.16
  5. Step 5: Solve for x
    x = 292,049.16/501.11
  6. Step 6: Final answer
    x = 582.81

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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.