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Finding the Fourth Proportional to 838.73, 1,256.41 and 400.40

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Solution

The fourth proportional to 838.73, 1,256.41 and 400.40 is: 599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.73 : 1,256.41 = 400.40 : x
  2. Step 2: Convert to fraction form
    838.73/1,256.41 = 400.40/x
  3. Step 3: Cross multiply
    838.73x = 1,256.41 × 400.40
  4. Step 4: Simplify right side
    838.73x = 503,066.56
  5. Step 5: Solve for x
    x = 503,066.56/838.73
  6. Step 6: Final answer
    x = 599.80

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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.