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Finding the Fourth Proportional to 2,744.34, 4,116.51 and 770.15

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Solution

The fourth proportional to 2,744.34, 4,116.51 and 770.15 is: 1,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.34 : 4,116.51 = 770.15 : x
  2. Step 2: Convert to fraction form
    2,744.34/4,116.51 = 770.15/x
  3. Step 3: Cross multiply
    2,744.34x = 4,116.51 × 770.15
  4. Step 4: Simplify right side
    2,744.34x = 3,170,328.34
  5. Step 5: Solve for x
    x = 3,170,328.34/2,744.34
  6. Step 6: Final answer
    x = 1,155.22

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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.