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Finding the Fourth Proportional to 479.81, 719.79 and 205.74

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Solution

The fourth proportional to 479.81, 719.79 and 205.74 is: 308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.81 : 719.79 = 205.74 : x
  2. Step 2: Convert to fraction form
    479.81/719.79 = 205.74/x
  3. Step 3: Cross multiply
    479.81x = 719.79 × 205.74
  4. Step 4: Simplify right side
    479.81x = 148,089.59
  5. Step 5: Solve for x
    x = 148,089.59/479.81
  6. Step 6: Final answer
    x = 308.65

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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.