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Finding the Fourth Proportional to 823.86, 1,234.71 and 390.24

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Solution

The fourth proportional to 823.86, 1,234.71 and 390.24 is: 584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.86 : 1,234.71 = 390.24 : x
  2. Step 2: Convert to fraction form
    823.86/1,234.71 = 390.24/x
  3. Step 3: Cross multiply
    823.86x = 1,234.71 × 390.24
  4. Step 4: Simplify right side
    823.86x = 481,833.23
  5. Step 5: Solve for x
    x = 481,833.23/823.86
  6. Step 6: Final answer
    x = 584.85

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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.