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Finding the Fourth Proportional to 882.14, 1,322.12 and 394.19

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Solution

The fourth proportional to 882.14, 1,322.12 and 394.19 is: 590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.14 : 1,322.12 = 394.19 : x
  2. Step 2: Convert to fraction form
    882.14/1,322.12 = 394.19/x
  3. Step 3: Cross multiply
    882.14x = 1,322.12 × 394.19
  4. Step 4: Simplify right side
    882.14x = 521,160.86
  5. Step 5: Solve for x
    x = 521,160.86/882.14
  6. Step 6: Final answer
    x = 590.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.