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Finding the Fourth Proportional to 923.44, 1,272.64 and 661

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Solution

The fourth proportional to 923.44, 1,272.64 and 661 is: 910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.44 : 1,272.64 = 661 : x
  2. Step 2: Convert to fraction form
    923.44/1,272.64 = 661/x
  3. Step 3: Cross multiply
    923.44x = 1,272.64 × 661
  4. Step 4: Simplify right side
    923.44x = 841,215.04
  5. Step 5: Solve for x
    x = 841,215.04/923.44
  6. Step 6: Final answer
    x = 910.96

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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.