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Finding the Fourth Proportional to 1,278.99, 1,917.20 and 817.29

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Solution

The fourth proportional to 1,278.99, 1,917.20 and 817.29 is: 1,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.99 : 1,917.20 = 817.29 : x
  2. Step 2: Convert to fraction form
    1,278.99/1,917.20 = 817.29/x
  3. Step 3: Cross multiply
    1,278.99x = 1,917.20 × 817.29
  4. Step 4: Simplify right side
    1,278.99x = 1,566,910.43
  5. Step 5: Solve for x
    x = 1,566,910.43/1,278.99
  6. Step 6: Final answer
    x = 1,225.12

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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.