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Finding the Fourth Proportional to 583.43, 806.41 and 443.77

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Solution

The fourth proportional to 583.43, 806.41 and 443.77 is: 613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.43 : 806.41 = 443.77 : x
  2. Step 2: Convert to fraction form
    583.43/806.41 = 443.77/x
  3. Step 3: Cross multiply
    583.43x = 806.41 × 443.77
  4. Step 4: Simplify right side
    583.43x = 357,859.10
  5. Step 5: Solve for x
    x = 357,859.10/583.43
  6. Step 6: Final answer
    x = 613.38

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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.