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Finding the Fourth Proportional to 939.67, 1,296.80 and 590.47

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Solution

The fourth proportional to 939.67, 1,296.80 and 590.47 is: 814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.67 : 1,296.80 = 590.47 : x
  2. Step 2: Convert to fraction form
    939.67/1,296.80 = 590.47/x
  3. Step 3: Cross multiply
    939.67x = 1,296.80 × 590.47
  4. Step 4: Simplify right side
    939.67x = 765,718.54
  5. Step 5: Solve for x
    x = 765,718.54/939.67
  6. Step 6: Final answer
    x = 814.88

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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.