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Finding the Fourth Proportional to 794.52, 1,096.74 and 561.96

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Solution

The fourth proportional to 794.52, 1,096.74 and 561.96 is: 775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.52 : 1,096.74 = 561.96 : x
  2. Step 2: Convert to fraction form
    794.52/1,096.74 = 561.96/x
  3. Step 3: Cross multiply
    794.52x = 1,096.74 × 561.96
  4. Step 4: Simplify right side
    794.52x = 616,324.01
  5. Step 5: Solve for x
    x = 616,324.01/794.52
  6. Step 6: Final answer
    x = 775.72

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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.