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Finding the Fourth Proportional to 1,021.81, 1,400.27 and 923.39

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Solution

The fourth proportional to 1,021.81, 1,400.27 and 923.39 is: 1,265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.81 : 1,400.27 = 923.39 : x
  2. Step 2: Convert to fraction form
    1,021.81/1,400.27 = 923.39/x
  3. Step 3: Cross multiply
    1,021.81x = 1,400.27 × 923.39
  4. Step 4: Simplify right side
    1,021.81x = 1,293,001.12
  5. Step 5: Solve for x
    x = 1,293,001.12/1,021.81
  6. Step 6: Final answer
    x = 1,265.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.