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Finding the Fourth Proportional to 939.77, 1,297.24 and 590.39

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Solution

The fourth proportional to 939.77, 1,297.24 and 590.39 is: 814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.77 : 1,297.24 = 590.39 : x
  2. Step 2: Convert to fraction form
    939.77/1,297.24 = 590.39/x
  3. Step 3: Cross multiply
    939.77x = 1,297.24 × 590.39
  4. Step 4: Simplify right side
    939.77x = 765,869.56
  5. Step 5: Solve for x
    x = 765,869.56/939.77
  6. Step 6: Final answer
    x = 814.96

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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.