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Finding the Fourth Proportional to 1,293.98, 1,785.21 and 828.50

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Solution

The fourth proportional to 1,293.98, 1,785.21 and 828.50 is: 1,143.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.98 : 1,785.21 = 828.50 : x
  2. Step 2: Convert to fraction form
    1,293.98/1,785.21 = 828.50/x
  3. Step 3: Cross multiply
    1,293.98x = 1,785.21 × 828.50
  4. Step 4: Simplify right side
    1,293.98x = 1,479,046.49
  5. Step 5: Solve for x
    x = 1,479,046.49/1,293.98
  6. Step 6: Final answer
    x = 1,143.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.