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Finding the Fourth Proportional to 584.37, 872.28 and 515.17

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Solution

The fourth proportional to 584.37, 872.28 and 515.17 is: 768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.37 : 872.28 = 515.17 : x
  2. Step 2: Convert to fraction form
    584.37/872.28 = 515.17/x
  3. Step 3: Cross multiply
    584.37x = 872.28 × 515.17
  4. Step 4: Simplify right side
    584.37x = 449,376.03
  5. Step 5: Solve for x
    x = 449,376.03/584.37
  6. Step 6: Final answer
    x = 768.99

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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.