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Finding the Fourth Proportional to 583.88, 806.10 and 387.56

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Solution

The fourth proportional to 583.88, 806.10 and 387.56 is: 535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.88 : 806.10 = 387.56 : x
  2. Step 2: Convert to fraction form
    583.88/806.10 = 387.56/x
  3. Step 3: Cross multiply
    583.88x = 806.10 × 387.56
  4. Step 4: Simplify right side
    583.88x = 312,412.12
  5. Step 5: Solve for x
    x = 312,412.12/583.88
  6. Step 6: Final answer
    x = 535.06

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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.