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Finding the Fourth Proportional to 1,142.21, 1,713.31 and 276.53

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Solution

The fourth proportional to 1,142.21, 1,713.31 and 276.53 is: 414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.21 : 1,713.31 = 276.53 : x
  2. Step 2: Convert to fraction form
    1,142.21/1,713.31 = 276.53/x
  3. Step 3: Cross multiply
    1,142.21x = 1,713.31 × 276.53
  4. Step 4: Simplify right side
    1,142.21x = 473,772.36
  5. Step 5: Solve for x
    x = 473,772.36/1,142.21
  6. Step 6: Final answer
    x = 414.78

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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.