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Finding the Fourth Proportional to 814.07, 1,217.76 and 677.30

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Solution

The fourth proportional to 814.07, 1,217.76 and 677.30 is: 1,013.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.07 : 1,217.76 = 677.30 : x
  2. Step 2: Convert to fraction form
    814.07/1,217.76 = 677.30/x
  3. Step 3: Cross multiply
    814.07x = 1,217.76 × 677.30
  4. Step 4: Simplify right side
    814.07x = 824,788.85
  5. Step 5: Solve for x
    x = 824,788.85/814.07
  6. Step 6: Final answer
    x = 1,013.17

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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.