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Finding the Fourth Proportional to 678.23, 935.49 and 415.79

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Solution

The fourth proportional to 678.23, 935.49 and 415.79 is: 573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.23 : 935.49 = 415.79 : x
  2. Step 2: Convert to fraction form
    678.23/935.49 = 415.79/x
  3. Step 3: Cross multiply
    678.23x = 935.49 × 415.79
  4. Step 4: Simplify right side
    678.23x = 388,965.31
  5. Step 5: Solve for x
    x = 388,965.31/678.23
  6. Step 6: Final answer
    x = 573.50

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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.