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Finding the Fourth Proportional to 1,294.56, 1,786.50 and 770.49

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Solution

The fourth proportional to 1,294.56, 1,786.50 and 770.49 is: 1,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.56 : 1,786.50 = 770.49 : x
  2. Step 2: Convert to fraction form
    1,294.56/1,786.50 = 770.49/x
  3. Step 3: Cross multiply
    1,294.56x = 1,786.50 × 770.49
  4. Step 4: Simplify right side
    1,294.56x = 1,376,480.39
  5. Step 5: Solve for x
    x = 1,376,480.39/1,294.56
  6. Step 6: Final answer
    x = 1,063.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.