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Finding the Fourth Proportional to 1,120.41, 1,680.99 and 504.54

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Solution

The fourth proportional to 1,120.41, 1,680.99 and 504.54 is: 756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.41 : 1,680.99 = 504.54 : x
  2. Step 2: Convert to fraction form
    1,120.41/1,680.99 = 504.54/x
  3. Step 3: Cross multiply
    1,120.41x = 1,680.99 × 504.54
  4. Step 4: Simplify right side
    1,120.41x = 848,126.69
  5. Step 5: Solve for x
    x = 848,126.69/1,120.41
  6. Step 6: Final answer
    x = 756.98

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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.