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Finding the Fourth Proportional to 923.30, 1,272.40 and 660.86

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Solution

The fourth proportional to 923.30, 1,272.40 and 660.86 is: 910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.30 : 1,272.40 = 660.86 : x
  2. Step 2: Convert to fraction form
    923.30/1,272.40 = 660.86/x
  3. Step 3: Cross multiply
    923.30x = 1,272.40 × 660.86
  4. Step 4: Simplify right side
    923.30x = 840,878.26
  5. Step 5: Solve for x
    x = 840,878.26/923.30
  6. Step 6: Final answer
    x = 910.73

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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.