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Finding the Fourth Proportional to 1,810.96, 2,716.46 and 770.74

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Solution

The fourth proportional to 1,810.96, 2,716.46 and 770.74 is: 1,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.96 : 2,716.46 = 770.74 : x
  2. Step 2: Convert to fraction form
    1,810.96/2,716.46 = 770.74/x
  3. Step 3: Cross multiply
    1,810.96x = 2,716.46 × 770.74
  4. Step 4: Simplify right side
    1,810.96x = 2,093,684.38
  5. Step 5: Solve for x
    x = 2,093,684.38/1,810.96
  6. Step 6: Final answer
    x = 1,156.12

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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.