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Finding the Fourth Proportional to 1,840.26, 2,759.48 and 607.64

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Solution

The fourth proportional to 1,840.26, 2,759.48 and 607.64 is: 911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.26 : 2,759.48 = 607.64 : x
  2. Step 2: Convert to fraction form
    1,840.26/2,759.48 = 607.64/x
  3. Step 3: Cross multiply
    1,840.26x = 2,759.48 × 607.64
  4. Step 4: Simplify right side
    1,840.26x = 1,676,770.43
  5. Step 5: Solve for x
    x = 1,676,770.43/1,840.26
  6. Step 6: Final answer
    x = 911.16

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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.