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Finding the Fourth Proportional to 1,980.14, 2,970.29 and 519.29

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Solution

The fourth proportional to 1,980.14, 2,970.29 and 519.29 is: 778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.14 : 2,970.29 = 519.29 : x
  2. Step 2: Convert to fraction form
    1,980.14/2,970.29 = 519.29/x
  3. Step 3: Cross multiply
    1,980.14x = 2,970.29 × 519.29
  4. Step 4: Simplify right side
    1,980.14x = 1,542,428.34
  5. Step 5: Solve for x
    x = 1,542,428.34/1,980.14
  6. Step 6: Final answer
    x = 778.95

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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.