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Finding the Fourth Proportional to 920.30, 1,379.24 and 371.84

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Solution

The fourth proportional to 920.30, 1,379.24 and 371.84 is: 557.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.30 : 1,379.24 = 371.84 : x
  2. Step 2: Convert to fraction form
    920.30/1,379.24 = 371.84/x
  3. Step 3: Cross multiply
    920.30x = 1,379.24 × 371.84
  4. Step 4: Simplify right side
    920.30x = 512,847.85
  5. Step 5: Solve for x
    x = 512,847.85/920.30
  6. Step 6: Final answer
    x = 557.26

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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.