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Finding the Fourth Proportional to 939.48, 1,296.60 and 566.48

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Solution

The fourth proportional to 939.48, 1,296.60 and 566.48 is: 781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.48 : 1,296.60 = 566.48 : x
  2. Step 2: Convert to fraction form
    939.48/1,296.60 = 566.48/x
  3. Step 3: Cross multiply
    939.48x = 1,296.60 × 566.48
  4. Step 4: Simplify right side
    939.48x = 734,497.97
  5. Step 5: Solve for x
    x = 734,497.97/939.48
  6. Step 6: Final answer
    x = 781.81

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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.