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Finding the Fourth Proportional to 845.76, 1,268.68 and 412.91

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Solution

The fourth proportional to 845.76, 1,268.68 and 412.91 is: 619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.76 : 1,268.68 = 412.91 : x
  2. Step 2: Convert to fraction form
    845.76/1,268.68 = 412.91/x
  3. Step 3: Cross multiply
    845.76x = 1,268.68 × 412.91
  4. Step 4: Simplify right side
    845.76x = 523,850.66
  5. Step 5: Solve for x
    x = 523,850.66/845.76
  6. Step 6: Final answer
    x = 619.38

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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.