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Finding the Fourth Proportional to 823.14, 1,235.31 and 390.27

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Solution

The fourth proportional to 823.14, 1,235.31 and 390.27 is: 585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.14 : 1,235.31 = 390.27 : x
  2. Step 2: Convert to fraction form
    823.14/1,235.31 = 390.27/x
  3. Step 3: Cross multiply
    823.14x = 1,235.31 × 390.27
  4. Step 4: Simplify right side
    823.14x = 482,104.43
  5. Step 5: Solve for x
    x = 482,104.43/823.14
  6. Step 6: Final answer
    x = 585.69

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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.