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Finding the Fourth Proportional to 678.08, 935.68 and 445.28

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Solution

The fourth proportional to 678.08, 935.68 and 445.28 is: 614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.08 : 935.68 = 445.28 : x
  2. Step 2: Convert to fraction form
    678.08/935.68 = 445.28/x
  3. Step 3: Cross multiply
    678.08x = 935.68 × 445.28
  4. Step 4: Simplify right side
    678.08x = 416,639.59
  5. Step 5: Solve for x
    x = 416,639.59/678.08
  6. Step 6: Final answer
    x = 614.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.