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Finding the Fourth Proportional to 976.42, 1,463.80 and 428.19

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Solution

The fourth proportional to 976.42, 1,463.80 and 428.19 is: 641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.42 : 1,463.80 = 428.19 : x
  2. Step 2: Convert to fraction form
    976.42/1,463.80 = 428.19/x
  3. Step 3: Cross multiply
    976.42x = 1,463.80 × 428.19
  4. Step 4: Simplify right side
    976.42x = 626,783.45
  5. Step 5: Solve for x
    x = 626,783.45/976.42
  6. Step 6: Final answer
    x = 641.92

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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.