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Finding the Fourth Proportional to 785.92, 1,183.54 and 684.43

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Solution

The fourth proportional to 785.92, 1,183.54 and 684.43 is: 1,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.92 : 1,183.54 = 684.43 : x
  2. Step 2: Convert to fraction form
    785.92/1,183.54 = 684.43/x
  3. Step 3: Cross multiply
    785.92x = 1,183.54 × 684.43
  4. Step 4: Simplify right side
    785.92x = 810,045.61
  5. Step 5: Solve for x
    x = 810,045.61/785.92
  6. Step 6: Final answer
    x = 1,030.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.