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Finding the Fourth Proportional to 845.09, 1,269.87 and 455.39

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Solution

The fourth proportional to 845.09, 1,269.87 and 455.39 is: 684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.09 : 1,269.87 = 455.39 : x
  2. Step 2: Convert to fraction form
    845.09/1,269.87 = 455.39/x
  3. Step 3: Cross multiply
    845.09x = 1,269.87 × 455.39
  4. Step 4: Simplify right side
    845.09x = 578,286.10
  5. Step 5: Solve for x
    x = 578,286.10/845.09
  6. Step 6: Final answer
    x = 684.29

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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.