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Finding the Fourth Proportional to 923.56, 1,274.89 and 629.01

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Solution

The fourth proportional to 923.56, 1,274.89 and 629.01 is: 868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.56 : 1,274.89 = 629.01 : x
  2. Step 2: Convert to fraction form
    923.56/1,274.89 = 629.01/x
  3. Step 3: Cross multiply
    923.56x = 1,274.89 × 629.01
  4. Step 4: Simplify right side
    923.56x = 801,918.56
  5. Step 5: Solve for x
    x = 801,918.56/923.56
  6. Step 6: Final answer
    x = 868.29

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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.