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Finding the Fourth Proportional to 838.77, 1,257.58 and 427.11

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Solution

The fourth proportional to 838.77, 1,257.58 and 427.11 is: 640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.77 : 1,257.58 = 427.11 : x
  2. Step 2: Convert to fraction form
    838.77/1,257.58 = 427.11/x
  3. Step 3: Cross multiply
    838.77x = 1,257.58 × 427.11
  4. Step 4: Simplify right side
    838.77x = 537,118.41
  5. Step 5: Solve for x
    x = 537,118.41/838.77
  6. Step 6: Final answer
    x = 640.37

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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.