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Finding the Fourth Proportional to 678.40, 935.71 and 416.56

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Solution

The fourth proportional to 678.40, 935.71 and 416.56 is: 574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.40 : 935.71 = 416.56 : x
  2. Step 2: Convert to fraction form
    678.40/935.71 = 416.56/x
  3. Step 3: Cross multiply
    678.40x = 935.71 × 416.56
  4. Step 4: Simplify right side
    678.40x = 389,772.60
  5. Step 5: Solve for x
    x = 389,772.60/678.40
  6. Step 6: Final answer
    x = 574.55

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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.