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Finding the Fourth Proportional to 986.28, 1,362 and 845.58

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Solution

The fourth proportional to 986.28, 1,362 and 845.58 is: 1,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.28 : 1,362 = 845.58 : x
  2. Step 2: Convert to fraction form
    986.28/1,362 = 845.58/x
  3. Step 3: Cross multiply
    986.28x = 1,362 × 845.58
  4. Step 4: Simplify right side
    986.28x = 1,151,679.96
  5. Step 5: Solve for x
    x = 1,151,679.96/986.28
  6. Step 6: Final answer
    x = 1,167.70

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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.