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Finding the Fourth Proportional to 814.15, 1,221.26 and 678.16

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Solution

The fourth proportional to 814.15, 1,221.26 and 678.16 is: 1,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.15 : 1,221.26 = 678.16 : x
  2. Step 2: Convert to fraction form
    814.15/1,221.26 = 678.16/x
  3. Step 3: Cross multiply
    814.15x = 1,221.26 × 678.16
  4. Step 4: Simplify right side
    814.15x = 828,209.68
  5. Step 5: Solve for x
    x = 828,209.68/814.15
  6. Step 6: Final answer
    x = 1,017.27

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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.