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Finding the Fourth Proportional to 1,634.10, 2,450.81 and 538.21

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Solution

The fourth proportional to 1,634.10, 2,450.81 and 538.21 is: 807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.10 : 2,450.81 = 538.21 : x
  2. Step 2: Convert to fraction form
    1,634.10/2,450.81 = 538.21/x
  3. Step 3: Cross multiply
    1,634.10x = 2,450.81 × 538.21
  4. Step 4: Simplify right side
    1,634.10x = 1,319,041.49
  5. Step 5: Solve for x
    x = 1,319,041.49/1,634.10
  6. Step 6: Final answer
    x = 807.20

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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.