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Finding the Fourth Proportional to 678.87, 935.60 and 482.31

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Solution

The fourth proportional to 678.87, 935.60 and 482.31 is: 664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.87 : 935.60 = 482.31 : x
  2. Step 2: Convert to fraction form
    678.87/935.60 = 482.31/x
  3. Step 3: Cross multiply
    678.87x = 935.60 × 482.31
  4. Step 4: Simplify right side
    678.87x = 451,246.82
  5. Step 5: Solve for x
    x = 451,246.82/678.87
  6. Step 6: Final answer
    x = 664.70

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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.