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Finding the Fourth Proportional to 824.51, 1,237.36 and 324.26

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Solution

The fourth proportional to 824.51, 1,237.36 and 324.26 is: 486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.51 : 1,237.36 = 324.26 : x
  2. Step 2: Convert to fraction form
    824.51/1,237.36 = 324.26/x
  3. Step 3: Cross multiply
    824.51x = 1,237.36 × 324.26
  4. Step 4: Simplify right side
    824.51x = 401,223.69
  5. Step 5: Solve for x
    x = 401,223.69/824.51
  6. Step 6: Final answer
    x = 486.62

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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.