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Finding the Fourth Proportional to 1,398.78, 2,096.43 and 617.94

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Solution

The fourth proportional to 1,398.78, 2,096.43 and 617.94 is: 926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.78 : 2,096.43 = 617.94 : x
  2. Step 2: Convert to fraction form
    1,398.78/2,096.43 = 617.94/x
  3. Step 3: Cross multiply
    1,398.78x = 2,096.43 × 617.94
  4. Step 4: Simplify right side
    1,398.78x = 1,295,467.95
  5. Step 5: Solve for x
    x = 1,295,467.95/1,398.78
  6. Step 6: Final answer
    x = 926.14

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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.