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Finding the Fourth Proportional to 678.33, 936.86 and 456.90

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Solution

The fourth proportional to 678.33, 936.86 and 456.90 is: 631.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.33 : 936.86 = 456.90 : x
  2. Step 2: Convert to fraction form
    678.33/936.86 = 456.90/x
  3. Step 3: Cross multiply
    678.33x = 936.86 × 456.90
  4. Step 4: Simplify right side
    678.33x = 428,046.65
  5. Step 5: Solve for x
    x = 428,046.65/678.33
  6. Step 6: Final answer
    x = 631.03

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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.