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Finding the Fourth Proportional to 896.41, 1,347.71 and 828.77

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Solution

The fourth proportional to 896.41, 1,347.71 and 828.77 is: 1,246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.41 : 1,347.71 = 828.77 : x
  2. Step 2: Convert to fraction form
    896.41/1,347.71 = 828.77/x
  3. Step 3: Cross multiply
    896.41x = 1,347.71 × 828.77
  4. Step 4: Simplify right side
    896.41x = 1,116,930.73
  5. Step 5: Solve for x
    x = 1,116,930.73/896.41
  6. Step 6: Final answer
    x = 1,246.00

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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.