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Finding the Fourth Proportional to 583.41, 806.39 and 512.94

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Solution

The fourth proportional to 583.41, 806.39 and 512.94 is: 708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.41 : 806.39 = 512.94 : x
  2. Step 2: Convert to fraction form
    583.41/806.39 = 512.94/x
  3. Step 3: Cross multiply
    583.41x = 806.39 × 512.94
  4. Step 4: Simplify right side
    583.41x = 413,629.69
  5. Step 5: Solve for x
    x = 413,629.69/583.41
  6. Step 6: Final answer
    x = 708.99

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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.