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Finding the Fourth Proportional to 1,086.90, 1,499.67 and 693.78

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Solution

The fourth proportional to 1,086.90, 1,499.67 and 693.78 is: 957.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.90 : 1,499.67 = 693.78 : x
  2. Step 2: Convert to fraction form
    1,086.90/1,499.67 = 693.78/x
  3. Step 3: Cross multiply
    1,086.90x = 1,499.67 × 693.78
  4. Step 4: Simplify right side
    1,086.90x = 1,040,441.05
  5. Step 5: Solve for x
    x = 1,040,441.05/1,086.90
  6. Step 6: Final answer
    x = 957.26

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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.