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Finding the Fourth Proportional to 678.14, 936.01 and 442.68

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Solution

The fourth proportional to 678.14, 936.01 and 442.68 is: 611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.14 : 936.01 = 442.68 : x
  2. Step 2: Convert to fraction form
    678.14/936.01 = 442.68/x
  3. Step 3: Cross multiply
    678.14x = 936.01 × 442.68
  4. Step 4: Simplify right side
    678.14x = 414,352.91
  5. Step 5: Solve for x
    x = 414,352.91/678.14
  6. Step 6: Final answer
    x = 611.01

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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.