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Finding the Fourth Proportional to 917.31, 1,375.44 and 300.96

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Solution

The fourth proportional to 917.31, 1,375.44 and 300.96 is: 451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.31 : 1,375.44 = 300.96 : x
  2. Step 2: Convert to fraction form
    917.31/1,375.44 = 300.96/x
  3. Step 3: Cross multiply
    917.31x = 1,375.44 × 300.96
  4. Step 4: Simplify right side
    917.31x = 413,952.42
  5. Step 5: Solve for x
    x = 413,952.42/917.31
  6. Step 6: Final answer
    x = 451.27

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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.