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Finding the Fourth Proportional to 2,420.26, 3,630.83 and 776.81

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Solution

The fourth proportional to 2,420.26, 3,630.83 and 776.81 is: 1,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.26 : 3,630.83 = 776.81 : x
  2. Step 2: Convert to fraction form
    2,420.26/3,630.83 = 776.81/x
  3. Step 3: Cross multiply
    2,420.26x = 3,630.83 × 776.81
  4. Step 4: Simplify right side
    2,420.26x = 2,820,470.25
  5. Step 5: Solve for x
    x = 2,820,470.25/2,420.26
  6. Step 6: Final answer
    x = 1,165.36

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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.