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Finding the Fourth Proportional to 939.64, 1,296.78 and 590.68

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Solution

The fourth proportional to 939.64, 1,296.78 and 590.68 is: 815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.64 : 1,296.78 = 590.68 : x
  2. Step 2: Convert to fraction form
    939.64/1,296.78 = 590.68/x
  3. Step 3: Cross multiply
    939.64x = 1,296.78 × 590.68
  4. Step 4: Simplify right side
    939.64x = 765,982.01
  5. Step 5: Solve for x
    x = 765,982.01/939.64
  6. Step 6: Final answer
    x = 815.19

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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.