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Finding the Fourth Proportional to 986.04, 1,359.72 and 675

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Solution

The fourth proportional to 986.04, 1,359.72 and 675 is: 930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.04 : 1,359.72 = 675 : x
  2. Step 2: Convert to fraction form
    986.04/1,359.72 = 675/x
  3. Step 3: Cross multiply
    986.04x = 1,359.72 × 675
  4. Step 4: Simplify right side
    986.04x = 917,811
  5. Step 5: Solve for x
    x = 917,811/986.04
  6. Step 6: Final answer
    x = 930.81

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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.