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Finding the Fourth Proportional to 923.08, 1,272.49 and 660.64

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Solution

The fourth proportional to 923.08, 1,272.49 and 660.64 is: 910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.08 : 1,272.49 = 660.64 : x
  2. Step 2: Convert to fraction form
    923.08/1,272.49 = 660.64/x
  3. Step 3: Cross multiply
    923.08x = 1,272.49 × 660.64
  4. Step 4: Simplify right side
    923.08x = 840,657.79
  5. Step 5: Solve for x
    x = 840,657.79/923.08
  6. Step 6: Final answer
    x = 910.71

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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.