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Finding the Fourth Proportional to 1,181.84, 1,772.13 and 451.00

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Solution

The fourth proportional to 1,181.84, 1,772.13 and 451.00 is: 676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.84 : 1,772.13 = 451.00 : x
  2. Step 2: Convert to fraction form
    1,181.84/1,772.13 = 451.00/x
  3. Step 3: Cross multiply
    1,181.84x = 1,772.13 × 451.00
  4. Step 4: Simplify right side
    1,181.84x = 799,221.77
  5. Step 5: Solve for x
    x = 799,221.77/1,181.84
  6. Step 6: Final answer
    x = 676.25

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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.