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Finding the Fourth Proportional to 1,096.86, 1,645.02 and 503.94

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Solution

The fourth proportional to 1,096.86, 1,645.02 and 503.94 is: 755.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.86 : 1,645.02 = 503.94 : x
  2. Step 2: Convert to fraction form
    1,096.86/1,645.02 = 503.94/x
  3. Step 3: Cross multiply
    1,096.86x = 1,645.02 × 503.94
  4. Step 4: Simplify right side
    1,096.86x = 828,991.38
  5. Step 5: Solve for x
    x = 828,991.38/1,096.86
  6. Step 6: Final answer
    x = 755.79

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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.