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Finding the Fourth Proportional to 677.69, 935.23 and 415.65

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Solution

The fourth proportional to 677.69, 935.23 and 415.65 is: 573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.69 : 935.23 = 415.65 : x
  2. Step 2: Convert to fraction form
    677.69/935.23 = 415.65/x
  3. Step 3: Cross multiply
    677.69x = 935.23 × 415.65
  4. Step 4: Simplify right side
    677.69x = 388,728.35
  5. Step 5: Solve for x
    x = 388,728.35/677.69
  6. Step 6: Final answer
    x = 573.61

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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.