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Finding the Fourth Proportional to 1,546.98, 2,317.23 and 681.90

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Solution

The fourth proportional to 1,546.98, 2,317.23 and 681.90 is: 1,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.98 : 2,317.23 = 681.90 : x
  2. Step 2: Convert to fraction form
    1,546.98/2,317.23 = 681.90/x
  3. Step 3: Cross multiply
    1,546.98x = 2,317.23 × 681.90
  4. Step 4: Simplify right side
    1,546.98x = 1,580,119.14
  5. Step 5: Solve for x
    x = 1,580,119.14/1,546.98
  6. Step 6: Final answer
    x = 1,021.42

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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.