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Finding the Fourth Proportional to 838.50, 1,256.10 and 426.42

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Solution

The fourth proportional to 838.50, 1,256.10 and 426.42 is: 638.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.50 : 1,256.10 = 426.42 : x
  2. Step 2: Convert to fraction form
    838.50/1,256.10 = 426.42/x
  3. Step 3: Cross multiply
    838.50x = 1,256.10 × 426.42
  4. Step 4: Simplify right side
    838.50x = 535,626.16
  5. Step 5: Solve for x
    x = 535,626.16/838.50
  6. Step 6: Final answer
    x = 638.79

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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.