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Finding the Fourth Proportional to 1,138.83, 1,709.06 and 408.48

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Solution

The fourth proportional to 1,138.83, 1,709.06 and 408.48 is: 613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.83 : 1,709.06 = 408.48 : x
  2. Step 2: Convert to fraction form
    1,138.83/1,709.06 = 408.48/x
  3. Step 3: Cross multiply
    1,138.83x = 1,709.06 × 408.48
  4. Step 4: Simplify right side
    1,138.83x = 698,114.79
  5. Step 5: Solve for x
    x = 698,114.79/1,138.83
  6. Step 6: Final answer
    x = 613.01

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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.