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Finding the Fourth Proportional to 629.14, 867.46 and 594.50

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Solution

The fourth proportional to 629.14, 867.46 and 594.50 is: 819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.14 : 867.46 = 594.50 : x
  2. Step 2: Convert to fraction form
    629.14/867.46 = 594.50/x
  3. Step 3: Cross multiply
    629.14x = 867.46 × 594.50
  4. Step 4: Simplify right side
    629.14x = 515,704.97
  5. Step 5: Solve for x
    x = 515,704.97/629.14
  6. Step 6: Final answer
    x = 819.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.