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Finding the Fourth Proportional to 923.92, 1,271.28 and 902.04

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Solution

The fourth proportional to 923.92, 1,271.28 and 902.04 is: 1,241.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.92 : 1,271.28 = 902.04 : x
  2. Step 2: Convert to fraction form
    923.92/1,271.28 = 902.04/x
  3. Step 3: Cross multiply
    923.92x = 1,271.28 × 902.04
  4. Step 4: Simplify right side
    923.92x = 1,146,745.41
  5. Step 5: Solve for x
    x = 1,146,745.41/923.92
  6. Step 6: Final answer
    x = 1,241.17

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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.