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Finding the Fourth Proportional to 849.58, 1,272.21 and 778.30

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Solution

The fourth proportional to 849.58, 1,272.21 and 778.30 is: 1,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.58 : 1,272.21 = 778.30 : x
  2. Step 2: Convert to fraction form
    849.58/1,272.21 = 778.30/x
  3. Step 3: Cross multiply
    849.58x = 1,272.21 × 778.30
  4. Step 4: Simplify right side
    849.58x = 990,161.04
  5. Step 5: Solve for x
    x = 990,161.04/849.58
  6. Step 6: Final answer
    x = 1,165.47

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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.