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Finding the Fourth Proportional to 920.21, 1,378.44 and 765.64

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Solution

The fourth proportional to 920.21, 1,378.44 and 765.64 is: 1,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.21 : 1,378.44 = 765.64 : x
  2. Step 2: Convert to fraction form
    920.21/1,378.44 = 765.64/x
  3. Step 3: Cross multiply
    920.21x = 1,378.44 × 765.64
  4. Step 4: Simplify right side
    920.21x = 1,055,396.55
  5. Step 5: Solve for x
    x = 1,055,396.55/920.21
  6. Step 6: Final answer
    x = 1,146.90

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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.