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Finding the Fourth Proportional to 571.05, 856.17 and 278.64

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Solution

The fourth proportional to 571.05, 856.17 and 278.64 is: 417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.05 : 856.17 = 278.64 : x
  2. Step 2: Convert to fraction form
    571.05/856.17 = 278.64/x
  3. Step 3: Cross multiply
    571.05x = 856.17 × 278.64
  4. Step 4: Simplify right side
    571.05x = 238,563.21
  5. Step 5: Solve for x
    x = 238,563.21/571.05
  6. Step 6: Final answer
    x = 417.76

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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.