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Finding the Fourth Proportional to 571.44, 856.86 and 278.99

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Solution

The fourth proportional to 571.44, 856.86 and 278.99 is: 418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.44 : 856.86 = 278.99 : x
  2. Step 2: Convert to fraction form
    571.44/856.86 = 278.99/x
  3. Step 3: Cross multiply
    571.44x = 856.86 × 278.99
  4. Step 4: Simplify right side
    571.44x = 239,057.02
  5. Step 5: Solve for x
    x = 239,057.02/571.44
  6. Step 6: Final answer
    x = 418.34

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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.