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Finding the Fourth Proportional to 493.81, 678.42 and 442.04

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Solution

The fourth proportional to 493.81, 678.42 and 442.04 is: 607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.81 : 678.42 = 442.04 : x
  2. Step 2: Convert to fraction form
    493.81/678.42 = 442.04/x
  3. Step 3: Cross multiply
    493.81x = 678.42 × 442.04
  4. Step 4: Simplify right side
    493.81x = 299,885.38
  5. Step 5: Solve for x
    x = 299,885.38/493.81
  6. Step 6: Final answer
    x = 607.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.