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Finding the Fourth Proportional to 838.30, 1,256.94 and 290.47

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Solution

The fourth proportional to 838.30, 1,256.94 and 290.47 is: 435.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.30 : 1,256.94 = 290.47 : x
  2. Step 2: Convert to fraction form
    838.30/1,256.94 = 290.47/x
  3. Step 3: Cross multiply
    838.30x = 1,256.94 × 290.47
  4. Step 4: Simplify right side
    838.30x = 365,103.36
  5. Step 5: Solve for x
    x = 365,103.36/838.30
  6. Step 6: Final answer
    x = 435.53

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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.