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Finding the Fourth Proportional to 838.07, 1,257.89 and 427.52

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Solution

The fourth proportional to 838.07, 1,257.89 and 427.52 is: 641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.07 : 1,257.89 = 427.52 : x
  2. Step 2: Convert to fraction form
    838.07/1,257.89 = 427.52/x
  3. Step 3: Cross multiply
    838.07x = 1,257.89 × 427.52
  4. Step 4: Simplify right side
    838.07x = 537,764.71
  5. Step 5: Solve for x
    x = 537,764.71/838.07
  6. Step 6: Final answer
    x = 641.67

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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.