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Finding the Fourth Proportional to 1,084.15, 1,625.14 and 536.73

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Solution

The fourth proportional to 1,084.15, 1,625.14 and 536.73 is: 804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.15 : 1,625.14 = 536.73 : x
  2. Step 2: Convert to fraction form
    1,084.15/1,625.14 = 536.73/x
  3. Step 3: Cross multiply
    1,084.15x = 1,625.14 × 536.73
  4. Step 4: Simplify right side
    1,084.15x = 872,261.39
  5. Step 5: Solve for x
    x = 872,261.39/1,084.15
  6. Step 6: Final answer
    x = 804.56

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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.