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Finding the Fourth Proportional to 583.90, 806.09 and 374.20

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Solution

The fourth proportional to 583.90, 806.09 and 374.20 is: 516.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.90 : 806.09 = 374.20 : x
  2. Step 2: Convert to fraction form
    583.90/806.09 = 374.20/x
  3. Step 3: Cross multiply
    583.90x = 806.09 × 374.20
  4. Step 4: Simplify right side
    583.90x = 301,634.99
  5. Step 5: Solve for x
    x = 301,634.99/583.90
  6. Step 6: Final answer
    x = 516.59

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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.