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Finding the Fourth Proportional to 1,126.81, 1,554.97 and 629.45

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Solution

The fourth proportional to 1,126.81, 1,554.97 and 629.45 is: 868.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.81 : 1,554.97 = 629.45 : x
  2. Step 2: Convert to fraction form
    1,126.81/1,554.97 = 629.45/x
  3. Step 3: Cross multiply
    1,126.81x = 1,554.97 × 629.45
  4. Step 4: Simplify right side
    1,126.81x = 978,770.93
  5. Step 5: Solve for x
    x = 978,770.93/1,126.81
  6. Step 6: Final answer
    x = 868.62

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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.