Home / 1,264.09-1,896.95-614.47

Finding the Fourth Proportional to 1,264.09, 1,896.95 and 614.47

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Solution

The fourth proportional to 1,264.09, 1,896.95 and 614.47 is: 922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.09 : 1,896.95 = 614.47 : x
  2. Step 2: Convert to fraction form
    1,264.09/1,896.95 = 614.47/x
  3. Step 3: Cross multiply
    1,264.09x = 1,896.95 × 614.47
  4. Step 4: Simplify right side
    1,264.09x = 1,165,611.05
  5. Step 5: Solve for x
    x = 1,165,611.05/1,264.09
  6. Step 6: Final answer
    x = 922.10

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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.