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Finding the Fourth Proportional to 1,475.37, 2,211.22 and 744.54

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Solution

The fourth proportional to 1,475.37, 2,211.22 and 744.54 is: 1,115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.37 : 2,211.22 = 744.54 : x
  2. Step 2: Convert to fraction form
    1,475.37/2,211.22 = 744.54/x
  3. Step 3: Cross multiply
    1,475.37x = 2,211.22 × 744.54
  4. Step 4: Simplify right side
    1,475.37x = 1,646,341.74
  5. Step 5: Solve for x
    x = 1,646,341.74/1,475.37
  6. Step 6: Final answer
    x = 1,115.88

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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.