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Finding the Fourth Proportional to 938.92, 1,296.12 and 590.08

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Solution

The fourth proportional to 938.92, 1,296.12 and 590.08 is: 814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.92 : 1,296.12 = 590.08 : x
  2. Step 2: Convert to fraction form
    938.92/1,296.12 = 590.08/x
  3. Step 3: Cross multiply
    938.92x = 1,296.12 × 590.08
  4. Step 4: Simplify right side
    938.92x = 764,814.49
  5. Step 5: Solve for x
    x = 764,814.49/938.92
  6. Step 6: Final answer
    x = 814.57

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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.