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Finding the Fourth Proportional to 677.35, 935.19 and 415.82

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Solution

The fourth proportional to 677.35, 935.19 and 415.82 is: 574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.35 : 935.19 = 415.82 : x
  2. Step 2: Convert to fraction form
    677.35/935.19 = 415.82/x
  3. Step 3: Cross multiply
    677.35x = 935.19 × 415.82
  4. Step 4: Simplify right side
    677.35x = 388,866.03
  5. Step 5: Solve for x
    x = 388,866.03/677.35
  6. Step 6: Final answer
    x = 574.10

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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.