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Finding the Fourth Proportional to 976.81, 1,463.90 and 490.21

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Solution

The fourth proportional to 976.81, 1,463.90 and 490.21 is: 734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.81 : 1,463.90 = 490.21 : x
  2. Step 2: Convert to fraction form
    976.81/1,463.90 = 490.21/x
  3. Step 3: Cross multiply
    976.81x = 1,463.90 × 490.21
  4. Step 4: Simplify right side
    976.81x = 717,615.97
  5. Step 5: Solve for x
    x = 717,615.97/976.81
  6. Step 6: Final answer
    x = 734.65

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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.