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Finding the Fourth Proportional to 1,270.46, 1,752.44 and 871.94

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Solution

The fourth proportional to 1,270.46, 1,752.44 and 871.94 is: 1,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.46 : 1,752.44 = 871.94 : x
  2. Step 2: Convert to fraction form
    1,270.46/1,752.44 = 871.94/x
  3. Step 3: Cross multiply
    1,270.46x = 1,752.44 × 871.94
  4. Step 4: Simplify right side
    1,270.46x = 1,528,022.53
  5. Step 5: Solve for x
    x = 1,528,022.53/1,270.46
  6. Step 6: Final answer
    x = 1,202.73

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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.