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Finding the Fourth Proportional to 597.21, 824.15 and 331.65

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Solution

The fourth proportional to 597.21, 824.15 and 331.65 is: 457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.21 : 824.15 = 331.65 : x
  2. Step 2: Convert to fraction form
    597.21/824.15 = 331.65/x
  3. Step 3: Cross multiply
    597.21x = 824.15 × 331.65
  4. Step 4: Simplify right side
    597.21x = 273,329.35
  5. Step 5: Solve for x
    x = 273,329.35/597.21
  6. Step 6: Final answer
    x = 457.68

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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.