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Finding the Fourth Proportional to 920.26, 1,380.34 and 509.60

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Solution

The fourth proportional to 920.26, 1,380.34 and 509.60 is: 764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.26 : 1,380.34 = 509.60 : x
  2. Step 2: Convert to fraction form
    920.26/1,380.34 = 509.60/x
  3. Step 3: Cross multiply
    920.26x = 1,380.34 × 509.60
  4. Step 4: Simplify right side
    920.26x = 703,421.26
  5. Step 5: Solve for x
    x = 703,421.26/920.26
  6. Step 6: Final answer
    x = 764.37

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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.