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Finding the Fourth Proportional to 471.48, 704.04 and 384.98

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Solution

The fourth proportional to 471.48, 704.04 and 384.98 is: 574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.48 : 704.04 = 384.98 : x
  2. Step 2: Convert to fraction form
    471.48/704.04 = 384.98/x
  3. Step 3: Cross multiply
    471.48x = 704.04 × 384.98
  4. Step 4: Simplify right side
    471.48x = 271,044.05
  5. Step 5: Solve for x
    x = 271,044.05/471.48
  6. Step 6: Final answer
    x = 574.88

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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.