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Finding the Fourth Proportional to 838.57, 1,256.43 and 513.26

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Solution

The fourth proportional to 838.57, 1,256.43 and 513.26 is: 769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.57 : 1,256.43 = 513.26 : x
  2. Step 2: Convert to fraction form
    838.57/1,256.43 = 513.26/x
  3. Step 3: Cross multiply
    838.57x = 1,256.43 × 513.26
  4. Step 4: Simplify right side
    838.57x = 644,868.98
  5. Step 5: Solve for x
    x = 644,868.98/838.57
  6. Step 6: Final answer
    x = 769.01

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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.