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Finding the Fourth Proportional to 471.96, 711.56 and 440.20

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Solution

The fourth proportional to 471.96, 711.56 and 440.20 is: 663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.96 : 711.56 = 440.20 : x
  2. Step 2: Convert to fraction form
    471.96/711.56 = 440.20/x
  3. Step 3: Cross multiply
    471.96x = 711.56 × 440.20
  4. Step 4: Simplify right side
    471.96x = 313,228.71
  5. Step 5: Solve for x
    x = 313,228.71/471.96
  6. Step 6: Final answer
    x = 663.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.