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Finding the Fourth Proportional to 595.89, 821.97 and 399.42

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Solution

The fourth proportional to 595.89, 821.97 and 399.42 is: 550.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.89 : 821.97 = 399.42 : x
  2. Step 2: Convert to fraction form
    595.89/821.97 = 399.42/x
  3. Step 3: Cross multiply
    595.89x = 821.97 × 399.42
  4. Step 4: Simplify right side
    595.89x = 328,311.26
  5. Step 5: Solve for x
    x = 328,311.26/595.89
  6. Step 6: Final answer
    x = 550.96

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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.