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Finding the Fourth Proportional to 1,140.25, 1,709.04 and 481.99

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Solution

The fourth proportional to 1,140.25, 1,709.04 and 481.99 is: 722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.25 : 1,709.04 = 481.99 : x
  2. Step 2: Convert to fraction form
    1,140.25/1,709.04 = 481.99/x
  3. Step 3: Cross multiply
    1,140.25x = 1,709.04 × 481.99
  4. Step 4: Simplify right side
    1,140.25x = 823,740.19
  5. Step 5: Solve for x
    x = 823,740.19/1,140.25
  6. Step 6: Final answer
    x = 722.42

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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.