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Finding the Fourth Proportional to 677.43, 935.35 and 415.80

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Solution

The fourth proportional to 677.43, 935.35 and 415.80 is: 574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.43 : 935.35 = 415.80 : x
  2. Step 2: Convert to fraction form
    677.43/935.35 = 415.80/x
  3. Step 3: Cross multiply
    677.43x = 935.35 × 415.80
  4. Step 4: Simplify right side
    677.43x = 388,917.49
  5. Step 5: Solve for x
    x = 388,917.49/677.43
  6. Step 6: Final answer
    x = 574.11

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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.