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Finding the Fourth Proportional to 1,160.55, 1,601.58 and 636.62

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Solution

The fourth proportional to 1,160.55, 1,601.58 and 636.62 is: 878.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.55 : 1,601.58 = 636.62 : x
  2. Step 2: Convert to fraction form
    1,160.55/1,601.58 = 636.62/x
  3. Step 3: Cross multiply
    1,160.55x = 1,601.58 × 636.62
  4. Step 4: Simplify right side
    1,160.55x = 1,019,589.85
  5. Step 5: Solve for x
    x = 1,019,589.85/1,160.55
  6. Step 6: Final answer
    x = 878.54

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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.