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Finding the Fourth Proportional to 834.84, 1,245.04 and 712.19

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Solution

The fourth proportional to 834.84, 1,245.04 and 712.19 is: 1,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.84 : 1,245.04 = 712.19 : x
  2. Step 2: Convert to fraction form
    834.84/1,245.04 = 712.19/x
  3. Step 3: Cross multiply
    834.84x = 1,245.04 × 712.19
  4. Step 4: Simplify right side
    834.84x = 886,706.37
  5. Step 5: Solve for x
    x = 886,706.37/834.84
  6. Step 6: Final answer
    x = 1,062.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.