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Finding the Fourth Proportional to 845.97, 1,271.85 and 684.78

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Solution

The fourth proportional to 845.97, 1,271.85 and 684.78 is: 1,029.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.97 : 1,271.85 = 684.78 : x
  2. Step 2: Convert to fraction form
    845.97/1,271.85 = 684.78/x
  3. Step 3: Cross multiply
    845.97x = 1,271.85 × 684.78
  4. Step 4: Simplify right side
    845.97x = 870,937.44
  5. Step 5: Solve for x
    x = 870,937.44/845.97
  6. Step 6: Final answer
    x = 1,029.51

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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.