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Finding the Fourth Proportional to 1,283.43, 1,921.37 and 976.53

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Solution

The fourth proportional to 1,283.43, 1,921.37 and 976.53 is: 1,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.43 : 1,921.37 = 976.53 : x
  2. Step 2: Convert to fraction form
    1,283.43/1,921.37 = 976.53/x
  3. Step 3: Cross multiply
    1,283.43x = 1,921.37 × 976.53
  4. Step 4: Simplify right side
    1,283.43x = 1,876,270.56
  5. Step 5: Solve for x
    x = 1,876,270.56/1,283.43
  6. Step 6: Final answer
    x = 1,461.92

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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.