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Finding the Fourth Proportional to 494.07, 678.76 and 442.29

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Solution

The fourth proportional to 494.07, 678.76 and 442.29 is: 607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.07 : 678.76 = 442.29 : x
  2. Step 2: Convert to fraction form
    494.07/678.76 = 442.29/x
  3. Step 3: Cross multiply
    494.07x = 678.76 × 442.29
  4. Step 4: Simplify right side
    494.07x = 300,208.76
  5. Step 5: Solve for x
    x = 300,208.76/494.07
  6. Step 6: Final answer
    x = 607.62

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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.