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Finding the Fourth Proportional to 814.86, 1,220.15 and 684.54

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Solution

The fourth proportional to 814.86, 1,220.15 and 684.54 is: 1,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.86 : 1,220.15 = 684.54 : x
  2. Step 2: Convert to fraction form
    814.86/1,220.15 = 684.54/x
  3. Step 3: Cross multiply
    814.86x = 1,220.15 × 684.54
  4. Step 4: Simplify right side
    814.86x = 835,241.48
  5. Step 5: Solve for x
    x = 835,241.48/814.86
  6. Step 6: Final answer
    x = 1,025.01

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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.