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Finding the Fourth Proportional to 845.13, 1,268.31 and 412.59

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Solution

The fourth proportional to 845.13, 1,268.31 and 412.59 is: 619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.13 : 1,268.31 = 412.59 : x
  2. Step 2: Convert to fraction form
    845.13/1,268.31 = 412.59/x
  3. Step 3: Cross multiply
    845.13x = 1,268.31 × 412.59
  4. Step 4: Simplify right side
    845.13x = 523,296.01
  5. Step 5: Solve for x
    x = 523,296.01/845.13
  6. Step 6: Final answer
    x = 619.19

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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.