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Finding the Fourth Proportional to 677.84, 935.57 and 441.38

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Solution

The fourth proportional to 677.84, 935.57 and 441.38 is: 609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.84 : 935.57 = 441.38 : x
  2. Step 2: Convert to fraction form
    677.84/935.57 = 441.38/x
  3. Step 3: Cross multiply
    677.84x = 935.57 × 441.38
  4. Step 4: Simplify right side
    677.84x = 412,945.33
  5. Step 5: Solve for x
    x = 412,945.33/677.84
  6. Step 6: Final answer
    x = 609.21

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Double scale
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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.