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Finding the Fourth Proportional to 813.57, 1,221.38 and 678.27

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Solution

The fourth proportional to 813.57, 1,221.38 and 678.27 is: 1,018.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.57 : 1,221.38 = 678.27 : x
  2. Step 2: Convert to fraction form
    813.57/1,221.38 = 678.27/x
  3. Step 3: Cross multiply
    813.57x = 1,221.38 × 678.27
  4. Step 4: Simplify right side
    813.57x = 828,425.41
  5. Step 5: Solve for x
    x = 828,425.41/813.57
  6. Step 6: Final answer
    x = 1,018.26

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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.