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Finding the Fourth Proportional to 1,395.44, 1,926.29 and 923.54

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Solution

The fourth proportional to 1,395.44, 1,926.29 and 923.54 is: 1,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.44 : 1,926.29 = 923.54 : x
  2. Step 2: Convert to fraction form
    1,395.44/1,926.29 = 923.54/x
  3. Step 3: Cross multiply
    1,395.44x = 1,926.29 × 923.54
  4. Step 4: Simplify right side
    1,395.44x = 1,778,991.62
  5. Step 5: Solve for x
    x = 1,778,991.62/1,395.44
  6. Step 6: Final answer
    x = 1,274.87

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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.