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Finding the Fourth Proportional to 1,349.10, 2,024.41 and 618.73

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Solution

The fourth proportional to 1,349.10, 2,024.41 and 618.73 is: 928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.10 : 2,024.41 = 618.73 : x
  2. Step 2: Convert to fraction form
    1,349.10/2,024.41 = 618.73/x
  3. Step 3: Cross multiply
    1,349.10x = 2,024.41 × 618.73
  4. Step 4: Simplify right side
    1,349.10x = 1,252,556.59
  5. Step 5: Solve for x
    x = 1,252,556.59/1,349.10
  6. Step 6: Final answer
    x = 928.44

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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.