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Finding the Fourth Proportional to 597.71, 825.47 and 411.68

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Solution

The fourth proportional to 597.71, 825.47 and 411.68 is: 568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.71 : 825.47 = 411.68 : x
  2. Step 2: Convert to fraction form
    597.71/825.47 = 411.68/x
  3. Step 3: Cross multiply
    597.71x = 825.47 × 411.68
  4. Step 4: Simplify right side
    597.71x = 339,827.43
  5. Step 5: Solve for x
    x = 339,827.43/597.71
  6. Step 6: Final answer
    x = 568.55

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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.