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Finding the Fourth Proportional to 838.56, 1,257.96 and 427.96

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Solution

The fourth proportional to 838.56, 1,257.96 and 427.96 is: 642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.56 : 1,257.96 = 427.96 : x
  2. Step 2: Convert to fraction form
    838.56/1,257.96 = 427.96/x
  3. Step 3: Cross multiply
    838.56x = 1,257.96 × 427.96
  4. Step 4: Simplify right side
    838.56x = 538,356.56
  5. Step 5: Solve for x
    x = 538,356.56/838.56
  6. Step 6: Final answer
    x = 642.00

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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.