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Finding the Fourth Proportional to 596.51, 822.17 and 419.53

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Solution

The fourth proportional to 596.51, 822.17 and 419.53 is: 578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.51 : 822.17 = 419.53 : x
  2. Step 2: Convert to fraction form
    596.51/822.17 = 419.53/x
  3. Step 3: Cross multiply
    596.51x = 822.17 × 419.53
  4. Step 4: Simplify right side
    596.51x = 344,924.98
  5. Step 5: Solve for x
    x = 344,924.98/596.51
  6. Step 6: Final answer
    x = 578.24

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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.