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Finding the Fourth Proportional to 3,083.28, 4,624.89 and 774.78

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Solution

The fourth proportional to 3,083.28, 4,624.89 and 774.78 is: 1,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.28 : 4,624.89 = 774.78 : x
  2. Step 2: Convert to fraction form
    3,083.28/4,624.89 = 774.78/x
  3. Step 3: Cross multiply
    3,083.28x = 4,624.89 × 774.78
  4. Step 4: Simplify right side
    3,083.28x = 3,583,272.27
  5. Step 5: Solve for x
    x = 3,583,272.27/3,083.28
  6. Step 6: Final answer
    x = 1,162.16

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1.5x scale

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.