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Finding the Fourth Proportional to 629.06, 866.58 and 512.42

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Solution

The fourth proportional to 629.06, 866.58 and 512.42 is: 705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.06 : 866.58 = 512.42 : x
  2. Step 2: Convert to fraction form
    629.06/866.58 = 512.42/x
  3. Step 3: Cross multiply
    629.06x = 866.58 × 512.42
  4. Step 4: Simplify right side
    629.06x = 444,052.92
  5. Step 5: Solve for x
    x = 444,052.92/629.06
  6. Step 6: Final answer
    x = 705.90

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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.