Home / 1,086.28-1,629.90-509.64

Finding the Fourth Proportional to 1,086.28, 1,629.90 and 509.64

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Solution

The fourth proportional to 1,086.28, 1,629.90 and 509.64 is: 764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.28 : 1,629.90 = 509.64 : x
  2. Step 2: Convert to fraction form
    1,086.28/1,629.90 = 509.64/x
  3. Step 3: Cross multiply
    1,086.28x = 1,629.90 × 509.64
  4. Step 4: Simplify right side
    1,086.28x = 830,662.24
  5. Step 5: Solve for x
    x = 830,662.24/1,086.28
  6. Step 6: Final answer
    x = 764.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.