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Finding the Fourth Proportional to 838.05, 1,257.03 and 427.17

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Solution

The fourth proportional to 838.05, 1,257.03 and 427.17 is: 640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.05 : 1,257.03 = 427.17 : x
  2. Step 2: Convert to fraction form
    838.05/1,257.03 = 427.17/x
  3. Step 3: Cross multiply
    838.05x = 1,257.03 × 427.17
  4. Step 4: Simplify right side
    838.05x = 536,965.51
  5. Step 5: Solve for x
    x = 536,965.51/838.05
  6. Step 6: Final answer
    x = 640.73

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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.