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Finding the Fourth Proportional to 629.72, 949.24 and 522.19

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Solution

The fourth proportional to 629.72, 949.24 and 522.19 is: 787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.72 : 949.24 = 522.19 : x
  2. Step 2: Convert to fraction form
    629.72/949.24 = 522.19/x
  3. Step 3: Cross multiply
    629.72x = 949.24 × 522.19
  4. Step 4: Simplify right side
    629.72x = 495,679.96
  5. Step 5: Solve for x
    x = 495,679.96/629.72
  6. Step 6: Final answer
    x = 787.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.