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Finding the Fourth Proportional to 1,450.00, 2,001.11 and 820.63

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Solution

The fourth proportional to 1,450.00, 2,001.11 and 820.63 is: 1,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.00 : 2,001.11 = 820.63 : x
  2. Step 2: Convert to fraction form
    1,450.00/2,001.11 = 820.63/x
  3. Step 3: Cross multiply
    1,450.00x = 2,001.11 × 820.63
  4. Step 4: Simplify right side
    1,450.00x = 1,642,169.30
  5. Step 5: Solve for x
    x = 1,642,169.30/1,450.00
  6. Step 6: Final answer
    x = 1,132.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.