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Finding the Fourth Proportional to 976.18, 1,463.42 and 427.94

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Solution

The fourth proportional to 976.18, 1,463.42 and 427.94 is: 641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.18 : 1,463.42 = 427.94 : x
  2. Step 2: Convert to fraction form
    976.18/1,463.42 = 427.94/x
  3. Step 3: Cross multiply
    976.18x = 1,463.42 × 427.94
  4. Step 4: Simplify right side
    976.18x = 626,255.95
  5. Step 5: Solve for x
    x = 626,255.95/976.18
  6. Step 6: Final answer
    x = 641.54

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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.