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Finding the Fourth Proportional to 1,849.16, 2,770.94 and 808.58

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Solution

The fourth proportional to 1,849.16, 2,770.94 and 808.58 is: 1,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.16 : 2,770.94 = 808.58 : x
  2. Step 2: Convert to fraction form
    1,849.16/2,770.94 = 808.58/x
  3. Step 3: Cross multiply
    1,849.16x = 2,770.94 × 808.58
  4. Step 4: Simplify right side
    1,849.16x = 2,240,535.61
  5. Step 5: Solve for x
    x = 2,240,535.61/1,849.16
  6. Step 6: Final answer
    x = 1,211.65

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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.