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Finding the Fourth Proportional to 834.74, 1,252.11 and 784.00

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Solution

The fourth proportional to 834.74, 1,252.11 and 784.00 is: 1,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.74 : 1,252.11 = 784.00 : x
  2. Step 2: Convert to fraction form
    834.74/1,252.11 = 784.00/x
  3. Step 3: Cross multiply
    834.74x = 1,252.11 × 784.00
  4. Step 4: Simplify right side
    834.74x = 981,647.98
  5. Step 5: Solve for x
    x = 981,647.98/834.74
  6. Step 6: Final answer
    x = 1,175.99

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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.