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Finding the Fourth Proportional to 893.45, 1,339.97 and 316.32

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Solution

The fourth proportional to 893.45, 1,339.97 and 316.32 is: 474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.45 : 1,339.97 = 316.32 : x
  2. Step 2: Convert to fraction form
    893.45/1,339.97 = 316.32/x
  3. Step 3: Cross multiply
    893.45x = 1,339.97 × 316.32
  4. Step 4: Simplify right side
    893.45x = 423,857.73
  5. Step 5: Solve for x
    x = 423,857.73/893.45
  6. Step 6: Final answer
    x = 474.41

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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.