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Finding the Fourth Proportional to 893.92, 1,232.99 and 628.91

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Solution

The fourth proportional to 893.92, 1,232.99 and 628.91 is: 867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.92 : 1,232.99 = 628.91 : x
  2. Step 2: Convert to fraction form
    893.92/1,232.99 = 628.91/x
  3. Step 3: Cross multiply
    893.92x = 1,232.99 × 628.91
  4. Step 4: Simplify right side
    893.92x = 775,444.35
  5. Step 5: Solve for x
    x = 775,444.35/893.92
  6. Step 6: Final answer
    x = 867.47

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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.