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Finding the Fourth Proportional to 1,186.95, 1,779.81 and 493.44

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Solution

The fourth proportional to 1,186.95, 1,779.81 and 493.44 is: 739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.95 : 1,779.81 = 493.44 : x
  2. Step 2: Convert to fraction form
    1,186.95/1,779.81 = 493.44/x
  3. Step 3: Cross multiply
    1,186.95x = 1,779.81 × 493.44
  4. Step 4: Simplify right side
    1,186.95x = 878,229.45
  5. Step 5: Solve for x
    x = 878,229.45/1,186.95
  6. Step 6: Final answer
    x = 739.90

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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.