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Finding the Fourth Proportional to 824.72, 1,237.07 and 518.54

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Solution

The fourth proportional to 824.72, 1,237.07 and 518.54 is: 777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.72 : 1,237.07 = 518.54 : x
  2. Step 2: Convert to fraction form
    824.72/1,237.07 = 518.54/x
  3. Step 3: Cross multiply
    824.72x = 1,237.07 × 518.54
  4. Step 4: Simplify right side
    824.72x = 641,465.39
  5. Step 5: Solve for x
    x = 641,465.39/824.72
  6. Step 6: Final answer
    x = 777.80

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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.