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Finding the Fourth Proportional to 893.70, 1,234.31 and 614.79

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Solution

The fourth proportional to 893.70, 1,234.31 and 614.79 is: 849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.70 : 1,234.31 = 614.79 : x
  2. Step 2: Convert to fraction form
    893.70/1,234.31 = 614.79/x
  3. Step 3: Cross multiply
    893.70x = 1,234.31 × 614.79
  4. Step 4: Simplify right side
    893.70x = 758,838.37
  5. Step 5: Solve for x
    x = 758,838.37/893.70
  6. Step 6: Final answer
    x = 849.10

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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.