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Finding the Fourth Proportional to 923.68, 1,273.72 and 662.08

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Solution

The fourth proportional to 923.68, 1,273.72 and 662.08 is: 912.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.68 : 1,273.72 = 662.08 : x
  2. Step 2: Convert to fraction form
    923.68/1,273.72 = 662.08/x
  3. Step 3: Cross multiply
    923.68x = 1,273.72 × 662.08
  4. Step 4: Simplify right side
    923.68x = 843,304.54
  5. Step 5: Solve for x
    x = 843,304.54/923.68
  6. Step 6: Final answer
    x = 912.98

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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.