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Finding the Fourth Proportional to 471.73, 704.15 and 437.43

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Solution

The fourth proportional to 471.73, 704.15 and 437.43 is: 652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.73 : 704.15 = 437.43 : x
  2. Step 2: Convert to fraction form
    471.73/704.15 = 437.43/x
  3. Step 3: Cross multiply
    471.73x = 704.15 × 437.43
  4. Step 4: Simplify right side
    471.73x = 308,012.15
  5. Step 5: Solve for x
    x = 308,012.15/471.73
  6. Step 6: Final answer
    x = 652.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.