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Finding the Fourth Proportional to 678.32, 936.26 and 442.56

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Solution

The fourth proportional to 678.32, 936.26 and 442.56 is: 610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.32 : 936.26 = 442.56 : x
  2. Step 2: Convert to fraction form
    678.32/936.26 = 442.56/x
  3. Step 3: Cross multiply
    678.32x = 936.26 × 442.56
  4. Step 4: Simplify right side
    678.32x = 414,354.18
  5. Step 5: Solve for x
    x = 414,354.18/678.32
  6. Step 6: Final answer
    x = 610.85

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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.