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Finding the Fourth Proportional to 986.74, 1,477.41 and 923.56

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Solution

The fourth proportional to 986.74, 1,477.41 and 923.56 is: 1,382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.74 : 1,477.41 = 923.56 : x
  2. Step 2: Convert to fraction form
    986.74/1,477.41 = 923.56/x
  3. Step 3: Cross multiply
    986.74x = 1,477.41 × 923.56
  4. Step 4: Simplify right side
    986.74x = 1,364,476.78
  5. Step 5: Solve for x
    x = 1,364,476.78/986.74
  6. Step 6: Final answer
    x = 1,382.81

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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.