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Finding the Fourth Proportional to 571.56, 856.56 and 366.06

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Solution

The fourth proportional to 571.56, 856.56 and 366.06 is: 548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.56 : 856.56 = 366.06 : x
  2. Step 2: Convert to fraction form
    571.56/856.56 = 366.06/x
  3. Step 3: Cross multiply
    571.56x = 856.56 × 366.06
  4. Step 4: Simplify right side
    571.56x = 313,552.35
  5. Step 5: Solve for x
    x = 313,552.35/571.56
  6. Step 6: Final answer
    x = 548.59

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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.