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Finding the Fourth Proportional to 2,336.40, 3,505.22 and 776.65

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Solution

The fourth proportional to 2,336.40, 3,505.22 and 776.65 is: 1,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.40 : 3,505.22 = 776.65 : x
  2. Step 2: Convert to fraction form
    2,336.40/3,505.22 = 776.65/x
  3. Step 3: Cross multiply
    2,336.40x = 3,505.22 × 776.65
  4. Step 4: Simplify right side
    2,336.40x = 2,722,331.05
  5. Step 5: Solve for x
    x = 2,722,331.05/2,336.40
  6. Step 6: Final answer
    x = 1,165.18

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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.