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Finding the Fourth Proportional to 1,226.54, 1,840.80 and 641.67

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Solution

The fourth proportional to 1,226.54, 1,840.80 and 641.67 is: 963.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.54 : 1,840.80 = 641.67 : x
  2. Step 2: Convert to fraction form
    1,226.54/1,840.80 = 641.67/x
  3. Step 3: Cross multiply
    1,226.54x = 1,840.80 × 641.67
  4. Step 4: Simplify right side
    1,226.54x = 1,181,190.19
  5. Step 5: Solve for x
    x = 1,181,190.19/1,226.54
  6. Step 6: Final answer
    x = 963.02

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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.