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Finding the Fourth Proportional to 597.09, 824.45 and 411.20

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Solution

The fourth proportional to 597.09, 824.45 and 411.20 is: 567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.09 : 824.45 = 411.20 : x
  2. Step 2: Convert to fraction form
    597.09/824.45 = 411.20/x
  3. Step 3: Cross multiply
    597.09x = 824.45 × 411.20
  4. Step 4: Simplify right side
    597.09x = 339,013.84
  5. Step 5: Solve for x
    x = 339,013.84/597.09
  6. Step 6: Final answer
    x = 567.78

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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.