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Finding the Fourth Proportional to 1,208.12, 1,811.36 and 583.54

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Solution

The fourth proportional to 1,208.12, 1,811.36 and 583.54 is: 874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.12 : 1,811.36 = 583.54 : x
  2. Step 2: Convert to fraction form
    1,208.12/1,811.36 = 583.54/x
  3. Step 3: Cross multiply
    1,208.12x = 1,811.36 × 583.54
  4. Step 4: Simplify right side
    1,208.12x = 1,056,997.94
  5. Step 5: Solve for x
    x = 1,056,997.94/1,208.12
  6. Step 6: Final answer
    x = 874.92

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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.