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Finding the Fourth Proportional to 629.25, 868.82 and 541.77

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Solution

The fourth proportional to 629.25, 868.82 and 541.77 is: 748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.25 : 868.82 = 541.77 : x
  2. Step 2: Convert to fraction form
    629.25/868.82 = 541.77/x
  3. Step 3: Cross multiply
    629.25x = 868.82 × 541.77
  4. Step 4: Simplify right side
    629.25x = 470,697.62
  5. Step 5: Solve for x
    x = 470,697.62/629.25
  6. Step 6: Final answer
    x = 748.04

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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.