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Finding the Fourth Proportional to 919.66, 1,379.62 and 371.82

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Solution

The fourth proportional to 919.66, 1,379.62 and 371.82 is: 557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.66 : 1,379.62 = 371.82 : x
  2. Step 2: Convert to fraction form
    919.66/1,379.62 = 371.82/x
  3. Step 3: Cross multiply
    919.66x = 1,379.62 × 371.82
  4. Step 4: Simplify right side
    919.66x = 512,970.31
  5. Step 5: Solve for x
    x = 512,970.31/919.66
  6. Step 6: Final answer
    x = 557.78

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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.