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Finding the Fourth Proportional to 863.73, 1,303.29 and 829.98

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Solution

The fourth proportional to 863.73, 1,303.29 and 829.98 is: 1,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.73 : 1,303.29 = 829.98 : x
  2. Step 2: Convert to fraction form
    863.73/1,303.29 = 829.98/x
  3. Step 3: Cross multiply
    863.73x = 1,303.29 × 829.98
  4. Step 4: Simplify right side
    863.73x = 1,081,704.63
  5. Step 5: Solve for x
    x = 1,081,704.63/863.73
  6. Step 6: Final answer
    x = 1,252.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.