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Finding the Fourth Proportional to 1,976.43, 2,964.65 and 515.58

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Solution

The fourth proportional to 1,976.43, 2,964.65 and 515.58 is: 773.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.43 : 2,964.65 = 515.58 : x
  2. Step 2: Convert to fraction form
    1,976.43/2,964.65 = 515.58/x
  3. Step 3: Cross multiply
    1,976.43x = 2,964.65 × 515.58
  4. Step 4: Simplify right side
    1,976.43x = 1,528,511.67
  5. Step 5: Solve for x
    x = 1,528,511.67/1,976.43
  6. Step 6: Final answer
    x = 773.37

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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.