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Finding the Fourth Proportional to 471.76, 651.16 and 331.91

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Solution

The fourth proportional to 471.76, 651.16 and 331.91 is: 458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.76 : 651.16 = 331.91 : x
  2. Step 2: Convert to fraction form
    471.76/651.16 = 331.91/x
  3. Step 3: Cross multiply
    471.76x = 651.16 × 331.91
  4. Step 4: Simplify right side
    471.76x = 216,121.60
  5. Step 5: Solve for x
    x = 216,121.60/471.76
  6. Step 6: Final answer
    x = 458.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.