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Finding the Fourth Proportional to 829.85, 1,143.32 and 682.83

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Solution

The fourth proportional to 829.85, 1,143.32 and 682.83 is: 940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.85 : 1,143.32 = 682.83 : x
  2. Step 2: Convert to fraction form
    829.85/1,143.32 = 682.83/x
  3. Step 3: Cross multiply
    829.85x = 1,143.32 × 682.83
  4. Step 4: Simplify right side
    829.85x = 780,689.78
  5. Step 5: Solve for x
    x = 780,689.78/829.85
  6. Step 6: Final answer
    x = 940.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.