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Finding the Fourth Proportional to 677.69, 935.23 and 441.79

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Solution

The fourth proportional to 677.69, 935.23 and 441.79 is: 609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.69 : 935.23 = 441.79 : x
  2. Step 2: Convert to fraction form
    677.69/935.23 = 441.79/x
  3. Step 3: Cross multiply
    677.69x = 935.23 × 441.79
  4. Step 4: Simplify right side
    677.69x = 413,169.74
  5. Step 5: Solve for x
    x = 413,169.74/677.69
  6. Step 6: Final answer
    x = 609.68

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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.