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Finding the Fourth Proportional to 479.83, 719.68 and 133.19

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Solution

The fourth proportional to 479.83, 719.68 and 133.19 is: 199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.83 : 719.68 = 133.19 : x
  2. Step 2: Convert to fraction form
    479.83/719.68 = 133.19/x
  3. Step 3: Cross multiply
    479.83x = 719.68 × 133.19
  4. Step 4: Simplify right side
    479.83x = 95,853.51
  5. Step 5: Solve for x
    x = 95,853.51/479.83
  6. Step 6: Final answer
    x = 199.77

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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.