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Finding the Fourth Proportional to 678.27, 935.84 and 416.44

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Solution

The fourth proportional to 678.27, 935.84 and 416.44 is: 574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.27 : 935.84 = 416.44 : x
  2. Step 2: Convert to fraction form
    678.27/935.84 = 416.44/x
  3. Step 3: Cross multiply
    678.27x = 935.84 × 416.44
  4. Step 4: Simplify right side
    678.27x = 389,714.45
  5. Step 5: Solve for x
    x = 389,714.45/678.27
  6. Step 6: Final answer
    x = 574.57

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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.