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Finding the Fourth Proportional to 471.55, 704.84 and 409.35

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Solution

The fourth proportional to 471.55, 704.84 and 409.35 is: 611.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.55 : 704.84 = 409.35 : x
  2. Step 2: Convert to fraction form
    471.55/704.84 = 409.35/x
  3. Step 3: Cross multiply
    471.55x = 704.84 × 409.35
  4. Step 4: Simplify right side
    471.55x = 288,530.30
  5. Step 5: Solve for x
    x = 288,530.30/471.55
  6. Step 6: Final answer
    x = 611.88

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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.