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Finding the Fourth Proportional to 682.46, 935.23 and 616.85

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Solution

The fourth proportional to 682.46, 935.23 and 616.85 is: 845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.46 : 935.23 = 616.85 : x
  2. Step 2: Convert to fraction form
    682.46/935.23 = 616.85/x
  3. Step 3: Cross multiply
    682.46x = 935.23 × 616.85
  4. Step 4: Simplify right side
    682.46x = 576,896.63
  5. Step 5: Solve for x
    x = 576,896.63/682.46
  6. Step 6: Final answer
    x = 845.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.