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Finding the Fourth Proportional to 1,278.15, 1,763.42 and 812.67

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Solution

The fourth proportional to 1,278.15, 1,763.42 and 812.67 is: 1,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.15 : 1,763.42 = 812.67 : x
  2. Step 2: Convert to fraction form
    1,278.15/1,763.42 = 812.67/x
  3. Step 3: Cross multiply
    1,278.15x = 1,763.42 × 812.67
  4. Step 4: Simplify right side
    1,278.15x = 1,433,074.47
  5. Step 5: Solve for x
    x = 1,433,074.47/1,278.15
  6. Step 6: Final answer
    x = 1,121.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.