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Finding the Fourth Proportional to 614.20, 851.47 and 581.32

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Solution

The fourth proportional to 614.20, 851.47 and 581.32 is: 805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.20 : 851.47 = 581.32 : x
  2. Step 2: Convert to fraction form
    614.20/851.47 = 581.32/x
  3. Step 3: Cross multiply
    614.20x = 851.47 × 581.32
  4. Step 4: Simplify right side
    614.20x = 494,976.54
  5. Step 5: Solve for x
    x = 494,976.54/614.20
  6. Step 6: Final answer
    x = 805.89

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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.