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Finding the Fourth Proportional to 1,186.83, 1,780.44 and 365.09

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Solution

The fourth proportional to 1,186.83, 1,780.44 and 365.09 is: 547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.83 : 1,780.44 = 365.09 : x
  2. Step 2: Convert to fraction form
    1,186.83/1,780.44 = 365.09/x
  3. Step 3: Cross multiply
    1,186.83x = 1,780.44 × 365.09
  4. Step 4: Simplify right side
    1,186.83x = 650,011.94
  5. Step 5: Solve for x
    x = 650,011.94/1,186.83
  6. Step 6: Final answer
    x = 547.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.