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Finding the Fourth Proportional to 571.70, 856.94 and 408.89

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Solution

The fourth proportional to 571.70, 856.94 and 408.89 is: 612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.70 : 856.94 = 408.89 : x
  2. Step 2: Convert to fraction form
    571.70/856.94 = 408.89/x
  3. Step 3: Cross multiply
    571.70x = 856.94 × 408.89
  4. Step 4: Simplify right side
    571.70x = 350,387.87
  5. Step 5: Solve for x
    x = 350,387.87/571.70
  6. Step 6: Final answer
    x = 612.89

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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.