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Finding the Fourth Proportional to 479.82, 719.65 and 133.19

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Solution

The fourth proportional to 479.82, 719.65 and 133.19 is: 199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.82 : 719.65 = 133.19 : x
  2. Step 2: Convert to fraction form
    479.82/719.65 = 133.19/x
  3. Step 3: Cross multiply
    479.82x = 719.65 × 133.19
  4. Step 4: Simplify right side
    479.82x = 95,845.92
  5. Step 5: Solve for x
    x = 95,845.92/479.82
  6. Step 6: Final answer
    x = 199.75

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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.