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Finding the Fourth Proportional to 838.41, 1,257.71 and 427.56

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Solution

The fourth proportional to 838.41, 1,257.71 and 427.56 is: 641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.41 : 1,257.71 = 427.56 : x
  2. Step 2: Convert to fraction form
    838.41/1,257.71 = 427.56/x
  3. Step 3: Cross multiply
    838.41x = 1,257.71 × 427.56
  4. Step 4: Simplify right side
    838.41x = 537,744.35
  5. Step 5: Solve for x
    x = 537,744.35/838.41
  6. Step 6: Final answer
    x = 641.39

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1.5x scale

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.