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Finding the Fourth Proportional to 471.56, 707.20 and 318.44

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Solution

The fourth proportional to 471.56, 707.20 and 318.44 is: 477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.56 : 707.20 = 318.44 : x
  2. Step 2: Convert to fraction form
    471.56/707.20 = 318.44/x
  3. Step 3: Cross multiply
    471.56x = 707.20 × 318.44
  4. Step 4: Simplify right side
    471.56x = 225,200.77
  5. Step 5: Solve for x
    x = 225,200.77/471.56
  6. Step 6: Final answer
    x = 477.57

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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.