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Finding the Fourth Proportional to 629.46, 868.53 and 380.91

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Solution

The fourth proportional to 629.46, 868.53 and 380.91 is: 525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.46 : 868.53 = 380.91 : x
  2. Step 2: Convert to fraction form
    629.46/868.53 = 380.91/x
  3. Step 3: Cross multiply
    629.46x = 868.53 × 380.91
  4. Step 4: Simplify right side
    629.46x = 330,831.76
  5. Step 5: Solve for x
    x = 330,831.76/629.46
  6. Step 6: Final answer
    x = 525.58

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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.