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Finding the Fourth Proportional to 2,251.12, 3,376.96 and 770.63

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Solution

The fourth proportional to 2,251.12, 3,376.96 and 770.63 is: 1,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.12 : 3,376.96 = 770.63 : x
  2. Step 2: Convert to fraction form
    2,251.12/3,376.96 = 770.63/x
  3. Step 3: Cross multiply
    2,251.12x = 3,376.96 × 770.63
  4. Step 4: Simplify right side
    2,251.12x = 2,602,386.68
  5. Step 5: Solve for x
    x = 2,602,386.68/2,251.12
  6. Step 6: Final answer
    x = 1,156.04

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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.