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Finding the Fourth Proportional to 471.84, 704.16 and 397.44

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Solution

The fourth proportional to 471.84, 704.16 and 397.44 is: 593.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.84 : 704.16 = 397.44 : x
  2. Step 2: Convert to fraction form
    471.84/704.16 = 397.44/x
  3. Step 3: Cross multiply
    471.84x = 704.16 × 397.44
  4. Step 4: Simplify right side
    471.84x = 279,861.35
  5. Step 5: Solve for x
    x = 279,861.35/471.84
  6. Step 6: Final answer
    x = 593.13

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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.