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Finding the Fourth Proportional to 571.18, 856.81 and 419

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Solution

The fourth proportional to 571.18, 856.81 and 419 is: 628.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.18 : 856.81 = 419 : x
  2. Step 2: Convert to fraction form
    571.18/856.81 = 419/x
  3. Step 3: Cross multiply
    571.18x = 856.81 × 419
  4. Step 4: Simplify right side
    571.18x = 359,003.39
  5. Step 5: Solve for x
    x = 359,003.39/571.18
  6. Step 6: Final answer
    x = 628.53

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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.