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Finding the Fourth Proportional to 834.75, 1,252.06 and 719.93

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Solution

The fourth proportional to 834.75, 1,252.06 and 719.93 is: 1,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.75 : 1,252.06 = 719.93 : x
  2. Step 2: Convert to fraction form
    834.75/1,252.06 = 719.93/x
  3. Step 3: Cross multiply
    834.75x = 1,252.06 × 719.93
  4. Step 4: Simplify right side
    834.75x = 901,395.56
  5. Step 5: Solve for x
    x = 901,395.56/834.75
  6. Step 6: Final answer
    x = 1,079.84

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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.