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Finding the Fourth Proportional to 629.76, 946.01 and 424.73

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Solution

The fourth proportional to 629.76, 946.01 and 424.73 is: 638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.76 : 946.01 = 424.73 : x
  2. Step 2: Convert to fraction form
    629.76/946.01 = 424.73/x
  3. Step 3: Cross multiply
    629.76x = 946.01 × 424.73
  4. Step 4: Simplify right side
    629.76x = 401,798.83
  5. Step 5: Solve for x
    x = 401,798.83/629.76
  6. Step 6: Final answer
    x = 638.02

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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.