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Finding the Fourth Proportional to 584.30, 872.31 and 519.50

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Solution

The fourth proportional to 584.30, 872.31 and 519.50 is: 775.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.30 : 872.31 = 519.50 : x
  2. Step 2: Convert to fraction form
    584.30/872.31 = 519.50/x
  3. Step 3: Cross multiply
    584.30x = 872.31 × 519.50
  4. Step 4: Simplify right side
    584.30x = 453,162.45
  5. Step 5: Solve for x
    x = 453,162.45/584.30
  6. Step 6: Final answer
    x = 775.56

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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.