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Finding the Fourth Proportional to 821.86, 1,234.91 and 617.74

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Solution

The fourth proportional to 821.86, 1,234.91 and 617.74 is: 928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.86 : 1,234.91 = 617.74 : x
  2. Step 2: Convert to fraction form
    821.86/1,234.91 = 617.74/x
  3. Step 3: Cross multiply
    821.86x = 1,234.91 × 617.74
  4. Step 4: Simplify right side
    821.86x = 762,851.76
  5. Step 5: Solve for x
    x = 762,851.76/821.86
  6. Step 6: Final answer
    x = 928.20

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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.