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Finding the Fourth Proportional to 939.72, 1,297.14 and 661.48

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Solution

The fourth proportional to 939.72, 1,297.14 and 661.48 is: 913.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.72 : 1,297.14 = 661.48 : x
  2. Step 2: Convert to fraction form
    939.72/1,297.14 = 661.48/x
  3. Step 3: Cross multiply
    939.72x = 1,297.14 × 661.48
  4. Step 4: Simplify right side
    939.72x = 858,032.17
  5. Step 5: Solve for x
    x = 858,032.17/939.72
  6. Step 6: Final answer
    x = 913.07

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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.