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Finding the Fourth Proportional to 824.19, 1,137.36 and 470.09

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Solution

The fourth proportional to 824.19, 1,137.36 and 470.09 is: 648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.19 : 1,137.36 = 470.09 : x
  2. Step 2: Convert to fraction form
    824.19/1,137.36 = 470.09/x
  3. Step 3: Cross multiply
    824.19x = 1,137.36 × 470.09
  4. Step 4: Simplify right side
    824.19x = 534,661.56
  5. Step 5: Solve for x
    x = 534,661.56/824.19
  6. Step 6: Final answer
    x = 648.71

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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.