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Finding the Fourth Proportional to 1,086.50, 1,499.37 and 620.75

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Solution

The fourth proportional to 1,086.50, 1,499.37 and 620.75 is: 856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.50 : 1,499.37 = 620.75 : x
  2. Step 2: Convert to fraction form
    1,086.50/1,499.37 = 620.75/x
  3. Step 3: Cross multiply
    1,086.50x = 1,499.37 × 620.75
  4. Step 4: Simplify right side
    1,086.50x = 930,733.93
  5. Step 5: Solve for x
    x = 930,733.93/1,086.50
  6. Step 6: Final answer
    x = 856.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.