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Finding the Fourth Proportional to 626.87, 940.82 and 505.91

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Solution

The fourth proportional to 626.87, 940.82 and 505.91 is: 759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.87 : 940.82 = 505.91 : x
  2. Step 2: Convert to fraction form
    626.87/940.82 = 505.91/x
  3. Step 3: Cross multiply
    626.87x = 940.82 × 505.91
  4. Step 4: Simplify right side
    626.87x = 475,970.07
  5. Step 5: Solve for x
    x = 475,970.07/626.87
  6. Step 6: Final answer
    x = 759.28

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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.