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Finding the Fourth Proportional to 571.23, 856.17 and 310.86

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Solution

The fourth proportional to 571.23, 856.17 and 310.86 is: 465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.23 : 856.17 = 310.86 : x
  2. Step 2: Convert to fraction form
    571.23/856.17 = 310.86/x
  3. Step 3: Cross multiply
    571.23x = 856.17 × 310.86
  4. Step 4: Simplify right side
    571.23x = 266,149.01
  5. Step 5: Solve for x
    x = 266,149.01/571.23
  6. Step 6: Final answer
    x = 465.92

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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.