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Finding the Fourth Proportional to 794.41, 1,096.13 and 499.77

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Solution

The fourth proportional to 794.41, 1,096.13 and 499.77 is: 689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.41 : 1,096.13 = 499.77 : x
  2. Step 2: Convert to fraction form
    794.41/1,096.13 = 499.77/x
  3. Step 3: Cross multiply
    794.41x = 1,096.13 × 499.77
  4. Step 4: Simplify right side
    794.41x = 547,814.14
  5. Step 5: Solve for x
    x = 547,814.14/794.41
  6. Step 6: Final answer
    x = 689.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.