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Finding the Fourth Proportional to 596.59, 821.94 and 472.21

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Solution

The fourth proportional to 596.59, 821.94 and 472.21 is: 650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.59 : 821.94 = 472.21 : x
  2. Step 2: Convert to fraction form
    596.59/821.94 = 472.21/x
  3. Step 3: Cross multiply
    596.59x = 821.94 × 472.21
  4. Step 4: Simplify right side
    596.59x = 388,128.29
  5. Step 5: Solve for x
    x = 388,128.29/596.59
  6. Step 6: Final answer
    x = 650.58

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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.