Home / 1,126.12-1,687.66-509.06

Finding the Fourth Proportional to 1,126.12, 1,687.66 and 509.06

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Solution

The fourth proportional to 1,126.12, 1,687.66 and 509.06 is: 762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.12 : 1,687.66 = 509.06 : x
  2. Step 2: Convert to fraction form
    1,126.12/1,687.66 = 509.06/x
  3. Step 3: Cross multiply
    1,126.12x = 1,687.66 × 509.06
  4. Step 4: Simplify right side
    1,126.12x = 859,109.22
  5. Step 5: Solve for x
    x = 859,109.22/1,126.12
  6. Step 6: Final answer
    x = 762.89

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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.