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Finding the Fourth Proportional to 475.62, 713.52 and 321.90

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Solution

The fourth proportional to 475.62, 713.52 and 321.90 is: 482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.62 : 713.52 = 321.90 : x
  2. Step 2: Convert to fraction form
    475.62/713.52 = 321.90/x
  3. Step 3: Cross multiply
    475.62x = 713.52 × 321.90
  4. Step 4: Simplify right side
    475.62x = 229,682.09
  5. Step 5: Solve for x
    x = 229,682.09/475.62
  6. Step 6: Final answer
    x = 482.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.