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Finding the Fourth Proportional to 1,840.95, 2,761.09 and 524.59

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Solution

The fourth proportional to 1,840.95, 2,761.09 and 524.59 is: 786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.95 : 2,761.09 = 524.59 : x
  2. Step 2: Convert to fraction form
    1,840.95/2,761.09 = 524.59/x
  3. Step 3: Cross multiply
    1,840.95x = 2,761.09 × 524.59
  4. Step 4: Simplify right side
    1,840.95x = 1,448,431.99
  5. Step 5: Solve for x
    x = 1,448,431.99/1,840.95
  6. Step 6: Final answer
    x = 786.79

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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.