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Finding the Fourth Proportional to 677.67, 934.81 and 441.32

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Solution

The fourth proportional to 677.67, 934.81 and 441.32 is: 608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.67 : 934.81 = 441.32 : x
  2. Step 2: Convert to fraction form
    677.67/934.81 = 441.32/x
  3. Step 3: Cross multiply
    677.67x = 934.81 × 441.32
  4. Step 4: Simplify right side
    677.67x = 412,544.57
  5. Step 5: Solve for x
    x = 412,544.57/677.67
  6. Step 6: Final answer
    x = 608.77

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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.