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Finding the Fourth Proportional to 1,181.74, 1,773.69 and 605.02

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Solution

The fourth proportional to 1,181.74, 1,773.69 and 605.02 is: 908.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.74 : 1,773.69 = 605.02 : x
  2. Step 2: Convert to fraction form
    1,181.74/1,773.69 = 605.02/x
  3. Step 3: Cross multiply
    1,181.74x = 1,773.69 × 605.02
  4. Step 4: Simplify right side
    1,181.74x = 1,073,117.92
  5. Step 5: Solve for x
    x = 1,073,117.92/1,181.74
  6. Step 6: Final answer
    x = 908.08

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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.