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Finding the Fourth Proportional to 845.59, 1,268.41 and 325.84

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Solution

The fourth proportional to 845.59, 1,268.41 and 325.84 is: 488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.59 : 1,268.41 = 325.84 : x
  2. Step 2: Convert to fraction form
    845.59/1,268.41 = 325.84/x
  3. Step 3: Cross multiply
    845.59x = 1,268.41 × 325.84
  4. Step 4: Simplify right side
    845.59x = 413,298.71
  5. Step 5: Solve for x
    x = 413,298.71/845.59
  6. Step 6: Final answer
    x = 488.77

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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.