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Finding the Fourth Proportional to 1,264.23, 1,896.34 and 614.41

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Solution

The fourth proportional to 1,264.23, 1,896.34 and 614.41 is: 921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.23 : 1,896.34 = 614.41 : x
  2. Step 2: Convert to fraction form
    1,264.23/1,896.34 = 614.41/x
  3. Step 3: Cross multiply
    1,264.23x = 1,896.34 × 614.41
  4. Step 4: Simplify right side
    1,264.23x = 1,165,130.26
  5. Step 5: Solve for x
    x = 1,165,130.26/1,264.23
  6. Step 6: Final answer
    x = 921.61

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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.