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Finding the Fourth Proportional to 1,817.40, 2,726.58 and 518.97

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Solution

The fourth proportional to 1,817.40, 2,726.58 and 518.97 is: 778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.40 : 2,726.58 = 518.97 : x
  2. Step 2: Convert to fraction form
    1,817.40/2,726.58 = 518.97/x
  3. Step 3: Cross multiply
    1,817.40x = 2,726.58 × 518.97
  4. Step 4: Simplify right side
    1,817.40x = 1,415,022.47
  5. Step 5: Solve for x
    x = 1,415,022.47/1,817.40
  6. Step 6: Final answer
    x = 778.60

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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.