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Finding the Fourth Proportional to 984.05, 1,357.54 and 629.81

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Solution

The fourth proportional to 984.05, 1,357.54 and 629.81 is: 868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.05 : 1,357.54 = 629.81 : x
  2. Step 2: Convert to fraction form
    984.05/1,357.54 = 629.81/x
  3. Step 3: Cross multiply
    984.05x = 1,357.54 × 629.81
  4. Step 4: Simplify right side
    984.05x = 854,983.91
  5. Step 5: Solve for x
    x = 854,983.91/984.05
  6. Step 6: Final answer
    x = 868.84

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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.