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Finding the Fourth Proportional to 1,240.21, 1,859.86 and 829.24

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Solution

The fourth proportional to 1,240.21, 1,859.86 and 829.24 is: 1,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.21 : 1,859.86 = 829.24 : x
  2. Step 2: Convert to fraction form
    1,240.21/1,859.86 = 829.24/x
  3. Step 3: Cross multiply
    1,240.21x = 1,859.86 × 829.24
  4. Step 4: Simplify right side
    1,240.21x = 1,542,266.69
  5. Step 5: Solve for x
    x = 1,542,266.69/1,240.21
  6. Step 6: Final answer
    x = 1,243.55

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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.