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Finding the Fourth Proportional to 822.86, 1,234.14 and 432.39

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Solution

The fourth proportional to 822.86, 1,234.14 and 432.39 is: 648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.86 : 1,234.14 = 432.39 : x
  2. Step 2: Convert to fraction form
    822.86/1,234.14 = 432.39/x
  3. Step 3: Cross multiply
    822.86x = 1,234.14 × 432.39
  4. Step 4: Simplify right side
    822.86x = 533,625.86
  5. Step 5: Solve for x
    x = 533,625.86/822.86
  6. Step 6: Final answer
    x = 648.50

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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.