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Finding the Fourth Proportional to 838.17, 1,256.55 and 427.41

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Solution

The fourth proportional to 838.17, 1,256.55 and 427.41 is: 640.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.17 : 1,256.55 = 427.41 : x
  2. Step 2: Convert to fraction form
    838.17/1,256.55 = 427.41/x
  3. Step 3: Cross multiply
    838.17x = 1,256.55 × 427.41
  4. Step 4: Simplify right side
    838.17x = 537,062.04
  5. Step 5: Solve for x
    x = 537,062.04/838.17
  6. Step 6: Final answer
    x = 640.76

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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.