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Finding the Fourth Proportional to 596.16, 821.90 and 418.88

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Solution

The fourth proportional to 596.16, 821.90 and 418.88 is: 577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.16 : 821.90 = 418.88 : x
  2. Step 2: Convert to fraction form
    596.16/821.90 = 418.88/x
  3. Step 3: Cross multiply
    596.16x = 821.90 × 418.88
  4. Step 4: Simplify right side
    596.16x = 344,277.47
  5. Step 5: Solve for x
    x = 344,277.47/596.16
  6. Step 6: Final answer
    x = 577.49

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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.