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Finding the Fourth Proportional to 677.82, 935.40 and 415.86

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Solution

The fourth proportional to 677.82, 935.40 and 415.86 is: 573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.82 : 935.40 = 415.86 : x
  2. Step 2: Convert to fraction form
    677.82/935.40 = 415.86/x
  3. Step 3: Cross multiply
    677.82x = 935.40 × 415.86
  4. Step 4: Simplify right side
    677.82x = 388,995.44
  5. Step 5: Solve for x
    x = 388,995.44/677.82
  6. Step 6: Final answer
    x = 573.89

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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.