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Finding the Fourth Proportional to 583.62, 871.28 and 506.22

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Solution

The fourth proportional to 583.62, 871.28 and 506.22 is: 755.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.62 : 871.28 = 506.22 : x
  2. Step 2: Convert to fraction form
    583.62/871.28 = 506.22/x
  3. Step 3: Cross multiply
    583.62x = 871.28 × 506.22
  4. Step 4: Simplify right side
    583.62x = 441,056.83
  5. Step 5: Solve for x
    x = 441,056.83/583.62
  6. Step 6: Final answer
    x = 755.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.