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Finding the Fourth Proportional to 838.03, 1,257.05 and 454.03

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Solution

The fourth proportional to 838.03, 1,257.05 and 454.03 is: 681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.03 : 1,257.05 = 454.03 : x
  2. Step 2: Convert to fraction form
    838.03/1,257.05 = 454.03/x
  3. Step 3: Cross multiply
    838.03x = 1,257.05 × 454.03
  4. Step 4: Simplify right side
    838.03x = 570,736.14
  5. Step 5: Solve for x
    x = 570,736.14/838.03
  6. Step 6: Final answer
    x = 681.05

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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.