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Finding the Fourth Proportional to 986.40, 1,359.96 and 808.70

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Solution

The fourth proportional to 986.40, 1,359.96 and 808.70 is: 1,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.40 : 1,359.96 = 808.70 : x
  2. Step 2: Convert to fraction form
    986.40/1,359.96 = 808.70/x
  3. Step 3: Cross multiply
    986.40x = 1,359.96 × 808.70
  4. Step 4: Simplify right side
    986.40x = 1,099,799.65
  5. Step 5: Solve for x
    x = 1,099,799.65/986.40
  6. Step 6: Final answer
    x = 1,114.96

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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.