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Finding the Fourth Proportional to 1,172.26, 1,617.15 and 778.78

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Solution

The fourth proportional to 1,172.26, 1,617.15 and 778.78 is: 1,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.26 : 1,617.15 = 778.78 : x
  2. Step 2: Convert to fraction form
    1,172.26/1,617.15 = 778.78/x
  3. Step 3: Cross multiply
    1,172.26x = 1,617.15 × 778.78
  4. Step 4: Simplify right side
    1,172.26x = 1,259,404.08
  5. Step 5: Solve for x
    x = 1,259,404.08/1,172.26
  6. Step 6: Final answer
    x = 1,074.34

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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.