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Finding the Fourth Proportional to 976.49, 1,464.20 and 428.03

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Solution

The fourth proportional to 976.49, 1,464.20 and 428.03 is: 641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.49 : 1,464.20 = 428.03 : x
  2. Step 2: Convert to fraction form
    976.49/1,464.20 = 428.03/x
  3. Step 3: Cross multiply
    976.49x = 1,464.20 × 428.03
  4. Step 4: Simplify right side
    976.49x = 626,722.60
  5. Step 5: Solve for x
    x = 626,722.60/976.49
  6. Step 6: Final answer
    x = 641.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.