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Finding the Fourth Proportional to 629.53, 943.61 and 537.95

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Solution

The fourth proportional to 629.53, 943.61 and 537.95 is: 806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.53 : 943.61 = 537.95 : x
  2. Step 2: Convert to fraction form
    629.53/943.61 = 537.95/x
  3. Step 3: Cross multiply
    629.53x = 943.61 × 537.95
  4. Step 4: Simplify right side
    629.53x = 507,615.00
  5. Step 5: Solve for x
    x = 507,615.00/629.53
  6. Step 6: Final answer
    x = 806.34

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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.