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Finding the Fourth Proportional to 629.73, 941.29 and 546.81

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Solution

The fourth proportional to 629.73, 941.29 and 546.81 is: 817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.73 : 941.29 = 546.81 : x
  2. Step 2: Convert to fraction form
    629.73/941.29 = 546.81/x
  3. Step 3: Cross multiply
    629.73x = 941.29 × 546.81
  4. Step 4: Simplify right side
    629.73x = 514,706.78
  5. Step 5: Solve for x
    x = 514,706.78/629.73
  6. Step 6: Final answer
    x = 817.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.