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Finding the Fourth Proportional to 1,428.98, 2,144.16 and 504.97

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Solution

The fourth proportional to 1,428.98, 2,144.16 and 504.97 is: 757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.98 : 2,144.16 = 504.97 : x
  2. Step 2: Convert to fraction form
    1,428.98/2,144.16 = 504.97/x
  3. Step 3: Cross multiply
    1,428.98x = 2,144.16 × 504.97
  4. Step 4: Simplify right side
    1,428.98x = 1,082,739.45
  5. Step 5: Solve for x
    x = 1,082,739.45/1,428.98
  6. Step 6: Final answer
    x = 757.70

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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.