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Finding the Fourth Proportional to 824.24, 1,137.47 and 451.21

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Solution

The fourth proportional to 824.24, 1,137.47 and 451.21 is: 622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.24 : 1,137.47 = 451.21 : x
  2. Step 2: Convert to fraction form
    824.24/1,137.47 = 451.21/x
  3. Step 3: Cross multiply
    824.24x = 1,137.47 × 451.21
  4. Step 4: Simplify right side
    824.24x = 513,240.13
  5. Step 5: Solve for x
    x = 513,240.13/824.24
  6. Step 6: Final answer
    x = 622.68

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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.