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Finding the Fourth Proportional to 1,216.06, 1,821.44 and 753.96

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Solution

The fourth proportional to 1,216.06, 1,821.44 and 753.96 is: 1,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.06 : 1,821.44 = 753.96 : x
  2. Step 2: Convert to fraction form
    1,216.06/1,821.44 = 753.96/x
  3. Step 3: Cross multiply
    1,216.06x = 1,821.44 × 753.96
  4. Step 4: Simplify right side
    1,216.06x = 1,373,292.90
  5. Step 5: Solve for x
    x = 1,373,292.90/1,216.06
  6. Step 6: Final answer
    x = 1,129.30

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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.