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Finding the Fourth Proportional to 845.13, 1,267.75 and 268.05

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Solution

The fourth proportional to 845.13, 1,267.75 and 268.05 is: 402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.13 : 1,267.75 = 268.05 : x
  2. Step 2: Convert to fraction form
    845.13/1,267.75 = 268.05/x
  3. Step 3: Cross multiply
    845.13x = 1,267.75 × 268.05
  4. Step 4: Simplify right side
    845.13x = 339,823.97
  5. Step 5: Solve for x
    x = 339,823.97/845.13
  6. Step 6: Final answer
    x = 402.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.