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Finding the Fourth Proportional to 583.70, 806.24 and 426.06

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Solution

The fourth proportional to 583.70, 806.24 and 426.06 is: 588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.70 : 806.24 = 426.06 : x
  2. Step 2: Convert to fraction form
    583.70/806.24 = 426.06/x
  3. Step 3: Cross multiply
    583.70x = 806.24 × 426.06
  4. Step 4: Simplify right side
    583.70x = 343,507.68
  5. Step 5: Solve for x
    x = 343,507.68/583.70
  6. Step 6: Final answer
    x = 588.51

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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.