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Finding the Fourth Proportional to 1,086.46, 1,499.90 and 820.60

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Solution

The fourth proportional to 1,086.46, 1,499.90 and 820.60 is: 1,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.46 : 1,499.90 = 820.60 : x
  2. Step 2: Convert to fraction form
    1,086.46/1,499.90 = 820.60/x
  3. Step 3: Cross multiply
    1,086.46x = 1,499.90 × 820.60
  4. Step 4: Simplify right side
    1,086.46x = 1,230,814.70
  5. Step 5: Solve for x
    x = 1,230,814.70/1,086.46
  6. Step 6: Final answer
    x = 1,132.86

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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.