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Finding the Fourth Proportional to 596.23, 822.47 and 419.12

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Solution

The fourth proportional to 596.23, 822.47 and 419.12 is: 578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.23 : 822.47 = 419.12 : x
  2. Step 2: Convert to fraction form
    596.23/822.47 = 419.12/x
  3. Step 3: Cross multiply
    596.23x = 822.47 × 419.12
  4. Step 4: Simplify right side
    596.23x = 344,708.19
  5. Step 5: Solve for x
    x = 344,708.19/596.23
  6. Step 6: Final answer
    x = 578.15

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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.