Home / 1,144.24-1,716.35-278.55

Finding the Fourth Proportional to 1,144.24, 1,716.35 and 278.55

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Solution

The fourth proportional to 1,144.24, 1,716.35 and 278.55 is: 417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.24 : 1,716.35 = 278.55 : x
  2. Step 2: Convert to fraction form
    1,144.24/1,716.35 = 278.55/x
  3. Step 3: Cross multiply
    1,144.24x = 1,716.35 × 278.55
  4. Step 4: Simplify right side
    1,144.24x = 478,081.41
  5. Step 5: Solve for x
    x = 478,081.41/1,144.24
  6. Step 6: Final answer
    x = 417.82

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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.