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Finding the Fourth Proportional to 849.41, 1,272.36 and 778.53

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Solution

The fourth proportional to 849.41, 1,272.36 and 778.53 is: 1,166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.41 : 1,272.36 = 778.53 : x
  2. Step 2: Convert to fraction form
    849.41/1,272.36 = 778.53/x
  3. Step 3: Cross multiply
    849.41x = 1,272.36 × 778.53
  4. Step 4: Simplify right side
    849.41x = 990,570.43
  5. Step 5: Solve for x
    x = 990,570.43/849.41
  6. Step 6: Final answer
    x = 1,166.19

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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.