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Finding the Fourth Proportional to 479.69, 719.77 and 233.11

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Solution

The fourth proportional to 479.69, 719.77 and 233.11 is: 349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.69 : 719.77 = 233.11 : x
  2. Step 2: Convert to fraction form
    479.69/719.77 = 233.11/x
  3. Step 3: Cross multiply
    479.69x = 719.77 × 233.11
  4. Step 4: Simplify right side
    479.69x = 167,785.30
  5. Step 5: Solve for x
    x = 167,785.30/479.69
  6. Step 6: Final answer
    x = 349.78

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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.