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Finding the Fourth Proportional to 629.53, 946.34 and 387.59

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Solution

The fourth proportional to 629.53, 946.34 and 387.59 is: 582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.53 : 946.34 = 387.59 : x
  2. Step 2: Convert to fraction form
    629.53/946.34 = 387.59/x
  3. Step 3: Cross multiply
    629.53x = 946.34 × 387.59
  4. Step 4: Simplify right side
    629.53x = 366,785.25
  5. Step 5: Solve for x
    x = 366,785.25/629.53
  6. Step 6: Final answer
    x = 582.64

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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.