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Finding the Fourth Proportional to 920.59, 1,380.34 and 365.34

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Solution

The fourth proportional to 920.59, 1,380.34 and 365.34 is: 547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.59 : 1,380.34 = 365.34 : x
  2. Step 2: Convert to fraction form
    920.59/1,380.34 = 365.34/x
  3. Step 3: Cross multiply
    920.59x = 1,380.34 × 365.34
  4. Step 4: Simplify right side
    920.59x = 504,293.42
  5. Step 5: Solve for x
    x = 504,293.42/920.59
  6. Step 6: Final answer
    x = 547.79

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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.