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Finding the Fourth Proportional to 597.83, 824.49 and 411.62

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Solution

The fourth proportional to 597.83, 824.49 and 411.62 is: 567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.83 : 824.49 = 411.62 : x
  2. Step 2: Convert to fraction form
    597.83/824.49 = 411.62/x
  3. Step 3: Cross multiply
    597.83x = 824.49 × 411.62
  4. Step 4: Simplify right side
    597.83x = 339,372.45
  5. Step 5: Solve for x
    x = 339,372.45/597.83
  6. Step 6: Final answer
    x = 567.68

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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.