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Finding the Fourth Proportional to 492.21, 677.91 and 456.97

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Solution

The fourth proportional to 492.21, 677.91 and 456.97 is: 629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.21 : 677.91 = 456.97 : x
  2. Step 2: Convert to fraction form
    492.21/677.91 = 456.97/x
  3. Step 3: Cross multiply
    492.21x = 677.91 × 456.97
  4. Step 4: Simplify right side
    492.21x = 309,784.53
  5. Step 5: Solve for x
    x = 309,784.53/492.21
  6. Step 6: Final answer
    x = 629.37

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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.