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Finding the Fourth Proportional to 596.18, 821.85 and 421.22

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Solution

The fourth proportional to 596.18, 821.85 and 421.22 is: 580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.18 : 821.85 = 421.22 : x
  2. Step 2: Convert to fraction form
    596.18/821.85 = 421.22/x
  3. Step 3: Cross multiply
    596.18x = 821.85 × 421.22
  4. Step 4: Simplify right side
    596.18x = 346,175.55
  5. Step 5: Solve for x
    x = 346,175.55/596.18
  6. Step 6: Final answer
    x = 580.66

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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.