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Finding the Fourth Proportional to 976.49, 1,463.72 and 428.57

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Solution

The fourth proportional to 976.49, 1,463.72 and 428.57 is: 642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.49 : 1,463.72 = 428.57 : x
  2. Step 2: Convert to fraction form
    976.49/1,463.72 = 428.57/x
  3. Step 3: Cross multiply
    976.49x = 1,463.72 × 428.57
  4. Step 4: Simplify right side
    976.49x = 627,297.02
  5. Step 5: Solve for x
    x = 627,297.02/976.49
  6. Step 6: Final answer
    x = 642.40

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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.