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Finding the Fourth Proportional to 584.22, 876.92 and 518.76

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Solution

The fourth proportional to 584.22, 876.92 and 518.76 is: 778.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.22 : 876.92 = 518.76 : x
  2. Step 2: Convert to fraction form
    584.22/876.92 = 518.76/x
  3. Step 3: Cross multiply
    584.22x = 876.92 × 518.76
  4. Step 4: Simplify right side
    584.22x = 454,911.02
  5. Step 5: Solve for x
    x = 454,911.02/584.22
  6. Step 6: Final answer
    x = 778.66

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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.