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Finding the Fourth Proportional to 473.32, 712.96 and 422.56

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Solution

The fourth proportional to 473.32, 712.96 and 422.56 is: 636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.32 : 712.96 = 422.56 : x
  2. Step 2: Convert to fraction form
    473.32/712.96 = 422.56/x
  3. Step 3: Cross multiply
    473.32x = 712.96 × 422.56
  4. Step 4: Simplify right side
    473.32x = 301,268.38
  5. Step 5: Solve for x
    x = 301,268.38/473.32
  6. Step 6: Final answer
    x = 636.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.