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Finding the Fourth Proportional to 629.89, 943.03 and 424.05

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Solution

The fourth proportional to 629.89, 943.03 and 424.05 is: 634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.89 : 943.03 = 424.05 : x
  2. Step 2: Convert to fraction form
    629.89/943.03 = 424.05/x
  3. Step 3: Cross multiply
    629.89x = 943.03 × 424.05
  4. Step 4: Simplify right side
    629.89x = 399,887.16
  5. Step 5: Solve for x
    x = 399,887.16/629.89
  6. Step 6: Final answer
    x = 634.86

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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.