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Finding the Fourth Proportional to 641.25, 884.79 and 492.03

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Solution

The fourth proportional to 641.25, 884.79 and 492.03 is: 678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.25 : 884.79 = 492.03 : x
  2. Step 2: Convert to fraction form
    641.25/884.79 = 492.03/x
  3. Step 3: Cross multiply
    641.25x = 884.79 × 492.03
  4. Step 4: Simplify right side
    641.25x = 435,343.22
  5. Step 5: Solve for x
    x = 435,343.22/641.25
  6. Step 6: Final answer
    x = 678.90

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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.