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Finding the Fourth Proportional to 838.91, 1,258.36 and 291.09

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Solution

The fourth proportional to 838.91, 1,258.36 and 291.09 is: 436.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.91 : 1,258.36 = 291.09 : x
  2. Step 2: Convert to fraction form
    838.91/1,258.36 = 291.09/x
  3. Step 3: Cross multiply
    838.91x = 1,258.36 × 291.09
  4. Step 4: Simplify right side
    838.91x = 366,288.27
  5. Step 5: Solve for x
    x = 366,288.27/838.91
  6. Step 6: Final answer
    x = 436.63

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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.