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Finding the Fourth Proportional to 1,980.43, 2,970.64 and 519.61

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Solution

The fourth proportional to 1,980.43, 2,970.64 and 519.61 is: 779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.43 : 2,970.64 = 519.61 : x
  2. Step 2: Convert to fraction form
    1,980.43/2,970.64 = 519.61/x
  3. Step 3: Cross multiply
    1,980.43x = 2,970.64 × 519.61
  4. Step 4: Simplify right side
    1,980.43x = 1,543,559.40
  5. Step 5: Solve for x
    x = 1,543,559.40/1,980.43
  6. Step 6: Final answer
    x = 779.41

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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.