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Finding the Fourth Proportional to 583.83, 806.22 and 387.45

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Solution

The fourth proportional to 583.83, 806.22 and 387.45 is: 535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.83 : 806.22 = 387.45 : x
  2. Step 2: Convert to fraction form
    583.83/806.22 = 387.45/x
  3. Step 3: Cross multiply
    583.83x = 806.22 × 387.45
  4. Step 4: Simplify right side
    583.83x = 312,369.94
  5. Step 5: Solve for x
    x = 312,369.94/583.83
  6. Step 6: Final answer
    x = 535.04

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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.