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Finding the Fourth Proportional to 584.25, 872.09 and 515.05

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Solution

The fourth proportional to 584.25, 872.09 and 515.05 is: 768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.25 : 872.09 = 515.05 : x
  2. Step 2: Convert to fraction form
    584.25/872.09 = 515.05/x
  3. Step 3: Cross multiply
    584.25x = 872.09 × 515.05
  4. Step 4: Simplify right side
    584.25x = 449,169.95
  5. Step 5: Solve for x
    x = 449,169.95/584.25
  6. Step 6: Final answer
    x = 768.80

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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.