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Finding the Fourth Proportional to 1,404.49, 2,107.01 and 538.73

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Solution

The fourth proportional to 1,404.49, 2,107.01 and 538.73 is: 808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.49 : 2,107.01 = 538.73 : x
  2. Step 2: Convert to fraction form
    1,404.49/2,107.01 = 538.73/x
  3. Step 3: Cross multiply
    1,404.49x = 2,107.01 × 538.73
  4. Step 4: Simplify right side
    1,404.49x = 1,135,116.02
  5. Step 5: Solve for x
    x = 1,135,116.02/1,404.49
  6. Step 6: Final answer
    x = 808.21

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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.