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Finding the Fourth Proportional to 845.49, 1,268.24 and 268.77

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Solution

The fourth proportional to 845.49, 1,268.24 and 268.77 is: 403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.49 : 1,268.24 = 268.77 : x
  2. Step 2: Convert to fraction form
    845.49/1,268.24 = 268.77/x
  3. Step 3: Cross multiply
    845.49x = 1,268.24 × 268.77
  4. Step 4: Simplify right side
    845.49x = 340,863.52
  5. Step 5: Solve for x
    x = 340,863.52/845.49
  6. Step 6: Final answer
    x = 403.16

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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.