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Finding the Fourth Proportional to 596.63, 822.47 and 491.46

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Solution

The fourth proportional to 596.63, 822.47 and 491.46 is: 677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.63 : 822.47 = 491.46 : x
  2. Step 2: Convert to fraction form
    596.63/822.47 = 491.46/x
  3. Step 3: Cross multiply
    596.63x = 822.47 × 491.46
  4. Step 4: Simplify right side
    596.63x = 404,208.65
  5. Step 5: Solve for x
    x = 404,208.65/596.63
  6. Step 6: Final answer
    x = 677.49

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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.