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Finding the Fourth Proportional to 596.52, 823.59 and 419.76

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Solution

The fourth proportional to 596.52, 823.59 and 419.76 is: 579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.52 : 823.59 = 419.76 : x
  2. Step 2: Convert to fraction form
    596.52/823.59 = 419.76/x
  3. Step 3: Cross multiply
    596.52x = 823.59 × 419.76
  4. Step 4: Simplify right side
    596.52x = 345,710.14
  5. Step 5: Solve for x
    x = 345,710.14/596.52
  6. Step 6: Final answer
    x = 579.54

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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.