Home / 1,279.28-1,917.48-509.04

Finding the Fourth Proportional to 1,279.28, 1,917.48 and 509.04

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Solution

The fourth proportional to 1,279.28, 1,917.48 and 509.04 is: 762.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.28 : 1,917.48 = 509.04 : x
  2. Step 2: Convert to fraction form
    1,279.28/1,917.48 = 509.04/x
  3. Step 3: Cross multiply
    1,279.28x = 1,917.48 × 509.04
  4. Step 4: Simplify right side
    1,279.28x = 976,074.02
  5. Step 5: Solve for x
    x = 976,074.02/1,279.28
  6. Step 6: Final answer
    x = 762.99

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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.