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Finding the Fourth Proportional to 665.99, 919.07 and 371.28

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Solution

The fourth proportional to 665.99, 919.07 and 371.28 is: 512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.99 : 919.07 = 371.28 : x
  2. Step 2: Convert to fraction form
    665.99/919.07 = 371.28/x
  3. Step 3: Cross multiply
    665.99x = 919.07 × 371.28
  4. Step 4: Simplify right side
    665.99x = 341,232.31
  5. Step 5: Solve for x
    x = 341,232.31/665.99
  6. Step 6: Final answer
    x = 512.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.