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Finding the Fourth Proportional to 471.87, 704.43 and 410.37

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Solution

The fourth proportional to 471.87, 704.43 and 410.37 is: 612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.87 : 704.43 = 410.37 : x
  2. Step 2: Convert to fraction form
    471.87/704.43 = 410.37/x
  3. Step 3: Cross multiply
    471.87x = 704.43 × 410.37
  4. Step 4: Simplify right side
    471.87x = 289,076.94
  5. Step 5: Solve for x
    x = 289,076.94/471.87
  6. Step 6: Final answer
    x = 612.62

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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.