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Finding the Fourth Proportional to 846.05, 1,268.78 and 573.80

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Solution

The fourth proportional to 846.05, 1,268.78 and 573.80 is: 860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.05 : 1,268.78 = 573.80 : x
  2. Step 2: Convert to fraction form
    846.05/1,268.78 = 573.80/x
  3. Step 3: Cross multiply
    846.05x = 1,268.78 × 573.80
  4. Step 4: Simplify right side
    846.05x = 728,016.75
  5. Step 5: Solve for x
    x = 728,016.75/846.05
  6. Step 6: Final answer
    x = 860.49

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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.