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Finding the Fourth Proportional to 838.39, 1,257.13 and 290.53

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Solution

The fourth proportional to 838.39, 1,257.13 and 290.53 is: 435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.39 : 1,257.13 = 290.53 : x
  2. Step 2: Convert to fraction form
    838.39/1,257.13 = 290.53/x
  3. Step 3: Cross multiply
    838.39x = 1,257.13 × 290.53
  4. Step 4: Simplify right side
    838.39x = 365,233.98
  5. Step 5: Solve for x
    x = 365,233.98/838.39
  6. Step 6: Final answer
    x = 435.64

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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.