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Finding the Fourth Proportional to 571.17, 856.22 and 520.46

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Solution

The fourth proportional to 571.17, 856.22 and 520.46 is: 780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.17 : 856.22 = 520.46 : x
  2. Step 2: Convert to fraction form
    571.17/856.22 = 520.46/x
  3. Step 3: Cross multiply
    571.17x = 856.22 × 520.46
  4. Step 4: Simplify right side
    571.17x = 445,621.38
  5. Step 5: Solve for x
    x = 445,621.38/571.17
  6. Step 6: Final answer
    x = 780.19

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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.