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Finding the Fourth Proportional to 431.04, 597.34 and 422.83

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Solution

The fourth proportional to 431.04, 597.34 and 422.83 is: 585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.04 : 597.34 = 422.83 : x
  2. Step 2: Convert to fraction form
    431.04/597.34 = 422.83/x
  3. Step 3: Cross multiply
    431.04x = 597.34 × 422.83
  4. Step 4: Simplify right side
    431.04x = 252,573.27
  5. Step 5: Solve for x
    x = 252,573.27/431.04
  6. Step 6: Final answer
    x = 585.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.