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Finding the Fourth Proportional to 1,149.37, 1,722.84 and 783.25

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Solution

The fourth proportional to 1,149.37, 1,722.84 and 783.25 is: 1,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.37 : 1,722.84 = 783.25 : x
  2. Step 2: Convert to fraction form
    1,149.37/1,722.84 = 783.25/x
  3. Step 3: Cross multiply
    1,149.37x = 1,722.84 × 783.25
  4. Step 4: Simplify right side
    1,149.37x = 1,349,414.43
  5. Step 5: Solve for x
    x = 1,349,414.43/1,149.37
  6. Step 6: Final answer
    x = 1,174.05

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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.