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Finding the Fourth Proportional to 821.85, 1,230.49 and 684.45

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Solution

The fourth proportional to 821.85, 1,230.49 and 684.45 is: 1,024.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.85 : 1,230.49 = 684.45 : x
  2. Step 2: Convert to fraction form
    821.85/1,230.49 = 684.45/x
  3. Step 3: Cross multiply
    821.85x = 1,230.49 × 684.45
  4. Step 4: Simplify right side
    821.85x = 842,209.74
  5. Step 5: Solve for x
    x = 842,209.74/821.85
  6. Step 6: Final answer
    x = 1,024.78

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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.