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Finding the Fourth Proportional to 583.35, 872.46 and 518.79

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Solution

The fourth proportional to 583.35, 872.46 and 518.79 is: 775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.35 : 872.46 = 518.79 : x
  2. Step 2: Convert to fraction form
    583.35/872.46 = 518.79/x
  3. Step 3: Cross multiply
    583.35x = 872.46 × 518.79
  4. Step 4: Simplify right side
    583.35x = 452,623.52
  5. Step 5: Solve for x
    x = 452,623.52/583.35
  6. Step 6: Final answer
    x = 775.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.