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Finding the Fourth Proportional to 1,397.12, 2,096.68 and 519.74

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Solution

The fourth proportional to 1,397.12, 2,096.68 and 519.74 is: 779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.12 : 2,096.68 = 519.74 : x
  2. Step 2: Convert to fraction form
    1,397.12/2,096.68 = 519.74/x
  3. Step 3: Cross multiply
    1,397.12x = 2,096.68 × 519.74
  4. Step 4: Simplify right side
    1,397.12x = 1,089,721.92
  5. Step 5: Solve for x
    x = 1,089,721.92/1,397.12
  6. Step 6: Final answer
    x = 779.98

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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.