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Finding the Fourth Proportional to 939.80, 1,296.91 and 590.42

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Solution

The fourth proportional to 939.80, 1,296.91 and 590.42 is: 814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.80 : 1,296.91 = 590.42 : x
  2. Step 2: Convert to fraction form
    939.80/1,296.91 = 590.42/x
  3. Step 3: Cross multiply
    939.80x = 1,296.91 × 590.42
  4. Step 4: Simplify right side
    939.80x = 765,721.60
  5. Step 5: Solve for x
    x = 765,721.60/939.80
  6. Step 6: Final answer
    x = 814.77

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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.