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Finding the Fourth Proportional to 823.76, 1,134.96 and 561.44

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Solution

The fourth proportional to 823.76, 1,134.96 and 561.44 is: 773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.76 : 1,134.96 = 561.44 : x
  2. Step 2: Convert to fraction form
    823.76/1,134.96 = 561.44/x
  3. Step 3: Cross multiply
    823.76x = 1,134.96 × 561.44
  4. Step 4: Simplify right side
    823.76x = 637,211.94
  5. Step 5: Solve for x
    x = 637,211.94/823.76
  6. Step 6: Final answer
    x = 773.54

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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.