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Finding the Fourth Proportional to 596.96, 823.02 and 491.66

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Solution

The fourth proportional to 596.96, 823.02 and 491.66 is: 677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.96 : 823.02 = 491.66 : x
  2. Step 2: Convert to fraction form
    596.96/823.02 = 491.66/x
  3. Step 3: Cross multiply
    596.96x = 823.02 × 491.66
  4. Step 4: Simplify right side
    596.96x = 404,646.01
  5. Step 5: Solve for x
    x = 404,646.01/596.96
  6. Step 6: Final answer
    x = 677.84

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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.