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Finding the Fourth Proportional to 583.28, 806.23 and 443.65

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Solution

The fourth proportional to 583.28, 806.23 and 443.65 is: 613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.28 : 806.23 = 443.65 : x
  2. Step 2: Convert to fraction form
    583.28/806.23 = 443.65/x
  3. Step 3: Cross multiply
    583.28x = 806.23 × 443.65
  4. Step 4: Simplify right side
    583.28x = 357,679.91
  5. Step 5: Solve for x
    x = 357,679.91/583.28
  6. Step 6: Final answer
    x = 613.22

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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.