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Finding the Fourth Proportional to 1,270.14, 1,754.31 and 956.80

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Solution

The fourth proportional to 1,270.14, 1,754.31 and 956.80 is: 1,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.14 : 1,754.31 = 956.80 : x
  2. Step 2: Convert to fraction form
    1,270.14/1,754.31 = 956.80/x
  3. Step 3: Cross multiply
    1,270.14x = 1,754.31 × 956.80
  4. Step 4: Simplify right side
    1,270.14x = 1,678,523.81
  5. Step 5: Solve for x
    x = 1,678,523.81/1,270.14
  6. Step 6: Final answer
    x = 1,321.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.