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Finding the Fourth Proportional to 882.70, 1,324.27 and 517.81

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Solution

The fourth proportional to 882.70, 1,324.27 and 517.81 is: 776.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.70 : 1,324.27 = 517.81 : x
  2. Step 2: Convert to fraction form
    882.70/1,324.27 = 517.81/x
  3. Step 3: Cross multiply
    882.70x = 1,324.27 × 517.81
  4. Step 4: Simplify right side
    882.70x = 685,712.33
  5. Step 5: Solve for x
    x = 685,712.33/882.70
  6. Step 6: Final answer
    x = 776.84

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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.