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Finding the Fourth Proportional to 719.38, 1,079.09 and 257.19

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Solution

The fourth proportional to 719.38, 1,079.09 and 257.19 is: 385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.38 : 1,079.09 = 257.19 : x
  2. Step 2: Convert to fraction form
    719.38/1,079.09 = 257.19/x
  3. Step 3: Cross multiply
    719.38x = 1,079.09 × 257.19
  4. Step 4: Simplify right side
    719.38x = 277,532.86
  5. Step 5: Solve for x
    x = 277,532.86/719.38
  6. Step 6: Final answer
    x = 385.79

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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.