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Finding the Fourth Proportional to 479.44, 717.40 and 306.10

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Solution

The fourth proportional to 479.44, 717.40 and 306.10 is: 458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.44 : 717.40 = 306.10 : x
  2. Step 2: Convert to fraction form
    479.44/717.40 = 306.10/x
  3. Step 3: Cross multiply
    479.44x = 717.40 × 306.10
  4. Step 4: Simplify right side
    479.44x = 219,596.14
  5. Step 5: Solve for x
    x = 219,596.14/479.44
  6. Step 6: Final answer
    x = 458.03

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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.