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Finding the Fourth Proportional to 471.44, 704.74 and 348.56

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Solution

The fourth proportional to 471.44, 704.74 and 348.56 is: 521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.44 : 704.74 = 348.56 : x
  2. Step 2: Convert to fraction form
    471.44/704.74 = 348.56/x
  3. Step 3: Cross multiply
    471.44x = 704.74 × 348.56
  4. Step 4: Simplify right side
    471.44x = 245,644.17
  5. Step 5: Solve for x
    x = 245,644.17/471.44
  6. Step 6: Final answer
    x = 521.05

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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.