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Finding the Fourth Proportional to 986.44, 1,360.77 and 800.14

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Solution

The fourth proportional to 986.44, 1,360.77 and 800.14 is: 1,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.44 : 1,360.77 = 800.14 : x
  2. Step 2: Convert to fraction form
    986.44/1,360.77 = 800.14/x
  3. Step 3: Cross multiply
    986.44x = 1,360.77 × 800.14
  4. Step 4: Simplify right side
    986.44x = 1,088,806.51
  5. Step 5: Solve for x
    x = 1,088,806.51/986.44
  6. Step 6: Final answer
    x = 1,103.77

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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.