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Finding the Fourth Proportional to 440.22, 610.28 and 431.30

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Solution

The fourth proportional to 440.22, 610.28 and 431.30 is: 597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.22 : 610.28 = 431.30 : x
  2. Step 2: Convert to fraction form
    440.22/610.28 = 431.30/x
  3. Step 3: Cross multiply
    440.22x = 610.28 × 431.30
  4. Step 4: Simplify right side
    440.22x = 263,213.76
  5. Step 5: Solve for x
    x = 263,213.76/440.22
  6. Step 6: Final answer
    x = 597.91

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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.