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Finding the Fourth Proportional to 835.17, 1,252.74 and 784.43

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Solution

The fourth proportional to 835.17, 1,252.74 and 784.43 is: 1,176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.17 : 1,252.74 = 784.43 : x
  2. Step 2: Convert to fraction form
    835.17/1,252.74 = 784.43/x
  3. Step 3: Cross multiply
    835.17x = 1,252.74 × 784.43
  4. Step 4: Simplify right side
    835.17x = 982,680.57
  5. Step 5: Solve for x
    x = 982,680.57/835.17
  6. Step 6: Final answer
    x = 1,176.62

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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.