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Finding the Fourth Proportional to 846.45, 1,268.78 and 298.35

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Solution

The fourth proportional to 846.45, 1,268.78 and 298.35 is: 447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.45 : 1,268.78 = 298.35 : x
  2. Step 2: Convert to fraction form
    846.45/1,268.78 = 298.35/x
  3. Step 3: Cross multiply
    846.45x = 1,268.78 × 298.35
  4. Step 4: Simplify right side
    846.45x = 378,539.02
  5. Step 5: Solve for x
    x = 378,539.02/846.45
  6. Step 6: Final answer
    x = 447.21

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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.