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Finding the Fourth Proportional to 1,321.06, 1,980.05 and 540.17

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Solution

The fourth proportional to 1,321.06, 1,980.05 and 540.17 is: 809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.06 : 1,980.05 = 540.17 : x
  2. Step 2: Convert to fraction form
    1,321.06/1,980.05 = 540.17/x
  3. Step 3: Cross multiply
    1,321.06x = 1,980.05 × 540.17
  4. Step 4: Simplify right side
    1,321.06x = 1,069,558.43
  5. Step 5: Solve for x
    x = 1,069,558.43/1,321.06
  6. Step 6: Final answer
    x = 809.62

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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.