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Finding the Fourth Proportional to 986.14, 1,359.54 and 845.65

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Solution

The fourth proportional to 986.14, 1,359.54 and 845.65 is: 1,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.14 : 1,359.54 = 845.65 : x
  2. Step 2: Convert to fraction form
    986.14/1,359.54 = 845.65/x
  3. Step 3: Cross multiply
    986.14x = 1,359.54 × 845.65
  4. Step 4: Simplify right side
    986.14x = 1,149,695.00
  5. Step 5: Solve for x
    x = 1,149,695.00/986.14
  6. Step 6: Final answer
    x = 1,165.85

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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.