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Finding the Fourth Proportional to 845.90, 1,268.66 and 325.74

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Solution

The fourth proportional to 845.90, 1,268.66 and 325.74 is: 488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.90 : 1,268.66 = 325.74 : x
  2. Step 2: Convert to fraction form
    845.90/1,268.66 = 325.74/x
  3. Step 3: Cross multiply
    845.90x = 1,268.66 × 325.74
  4. Step 4: Simplify right side
    845.90x = 413,253.31
  5. Step 5: Solve for x
    x = 413,253.31/845.90
  6. Step 6: Final answer
    x = 488.54

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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.