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Finding the Fourth Proportional to 596.05, 821.53 and 409.21

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Solution

The fourth proportional to 596.05, 821.53 and 409.21 is: 564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.05 : 821.53 = 409.21 : x
  2. Step 2: Convert to fraction form
    596.05/821.53 = 409.21/x
  3. Step 3: Cross multiply
    596.05x = 821.53 × 409.21
  4. Step 4: Simplify right side
    596.05x = 336,178.29
  5. Step 5: Solve for x
    x = 336,178.29/596.05
  6. Step 6: Final answer
    x = 564.01

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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.