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Finding the Fourth Proportional to 938.82, 1,296.45 and 590.12

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Solution

The fourth proportional to 938.82, 1,296.45 and 590.12 is: 814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.82 : 1,296.45 = 590.12 : x
  2. Step 2: Convert to fraction form
    938.82/1,296.45 = 590.12/x
  3. Step 3: Cross multiply
    938.82x = 1,296.45 × 590.12
  4. Step 4: Simplify right side
    938.82x = 765,054.59
  5. Step 5: Solve for x
    x = 765,054.59/938.82
  6. Step 6: Final answer
    x = 814.91

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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.