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Finding the Fourth Proportional to 794.74, 1,096.74 and 445.45

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Solution

The fourth proportional to 794.74, 1,096.74 and 445.45 is: 614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.74 : 1,096.74 = 445.45 : x
  2. Step 2: Convert to fraction form
    794.74/1,096.74 = 445.45/x
  3. Step 3: Cross multiply
    794.74x = 1,096.74 × 445.45
  4. Step 4: Simplify right side
    794.74x = 488,535.12
  5. Step 5: Solve for x
    x = 488,535.12/794.74
  6. Step 6: Final answer
    x = 614.71

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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.