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Finding the Fourth Proportional to 1,181.40, 1,772.72 and 450.98

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Solution

The fourth proportional to 1,181.40, 1,772.72 and 450.98 is: 676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.40 : 1,772.72 = 450.98 : x
  2. Step 2: Convert to fraction form
    1,181.40/1,772.72 = 450.98/x
  3. Step 3: Cross multiply
    1,181.40x = 1,772.72 × 450.98
  4. Step 4: Simplify right side
    1,181.40x = 799,461.27
  5. Step 5: Solve for x
    x = 799,461.27/1,181.40
  6. Step 6: Final answer
    x = 676.71

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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.