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Finding the Fourth Proportional to 824.15, 1,137.73 and 637.21

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Solution

The fourth proportional to 824.15, 1,137.73 and 637.21 is: 879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.15 : 1,137.73 = 637.21 : x
  2. Step 2: Convert to fraction form
    824.15/1,137.73 = 637.21/x
  3. Step 3: Cross multiply
    824.15x = 1,137.73 × 637.21
  4. Step 4: Simplify right side
    824.15x = 724,972.93
  5. Step 5: Solve for x
    x = 724,972.93/824.15
  6. Step 6: Final answer
    x = 879.66

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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.