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Finding the Fourth Proportional to 893.51, 1,337.46 and 614.23

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Solution

The fourth proportional to 893.51, 1,337.46 and 614.23 is: 919.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.51 : 1,337.46 = 614.23 : x
  2. Step 2: Convert to fraction form
    893.51/1,337.46 = 614.23/x
  3. Step 3: Cross multiply
    893.51x = 1,337.46 × 614.23
  4. Step 4: Simplify right side
    893.51x = 821,511.66
  5. Step 5: Solve for x
    x = 821,511.66/893.51
  6. Step 6: Final answer
    x = 919.42

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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.