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Finding the Fourth Proportional to 923.89, 1,273.21 and 661.45

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Solution

The fourth proportional to 923.89, 1,273.21 and 661.45 is: 911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.89 : 1,273.21 = 661.45 : x
  2. Step 2: Convert to fraction form
    923.89/1,273.21 = 661.45/x
  3. Step 3: Cross multiply
    923.89x = 1,273.21 × 661.45
  4. Step 4: Simplify right side
    923.89x = 842,156.73
  5. Step 5: Solve for x
    x = 842,156.73/923.89
  6. Step 6: Final answer
    x = 911.54

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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.