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Finding the Fourth Proportional to 571.18, 856.02 and 311.29

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Solution

The fourth proportional to 571.18, 856.02 and 311.29 is: 466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.18 : 856.02 = 311.29 : x
  2. Step 2: Convert to fraction form
    571.18/856.02 = 311.29/x
  3. Step 3: Cross multiply
    571.18x = 856.02 × 311.29
  4. Step 4: Simplify right side
    571.18x = 266,470.47
  5. Step 5: Solve for x
    x = 266,470.47/571.18
  6. Step 6: Final answer
    x = 466.53

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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.