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Finding the Fourth Proportional to 1,321.10, 1,980.26 and 541.62

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Solution

The fourth proportional to 1,321.10, 1,980.26 and 541.62 is: 811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.10 : 1,980.26 = 541.62 : x
  2. Step 2: Convert to fraction form
    1,321.10/1,980.26 = 541.62/x
  3. Step 3: Cross multiply
    1,321.10x = 1,980.26 × 541.62
  4. Step 4: Simplify right side
    1,321.10x = 1,072,548.42
  5. Step 5: Solve for x
    x = 1,072,548.42/1,321.10
  6. Step 6: Final answer
    x = 811.86

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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.