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Finding the Fourth Proportional to 571.40, 856.92 and 328.04

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Solution

The fourth proportional to 571.40, 856.92 and 328.04 is: 491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.40 : 856.92 = 328.04 : x
  2. Step 2: Convert to fraction form
    571.40/856.92 = 328.04/x
  3. Step 3: Cross multiply
    571.40x = 856.92 × 328.04
  4. Step 4: Simplify right side
    571.40x = 281,104.04
  5. Step 5: Solve for x
    x = 281,104.04/571.40
  6. Step 6: Final answer
    x = 491.96

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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.