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Finding the Fourth Proportional to 601.98, 832.17 and 596.44

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Solution

The fourth proportional to 601.98, 832.17 and 596.44 is: 824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.98 : 832.17 = 596.44 : x
  2. Step 2: Convert to fraction form
    601.98/832.17 = 596.44/x
  3. Step 3: Cross multiply
    601.98x = 832.17 × 596.44
  4. Step 4: Simplify right side
    601.98x = 496,339.47
  5. Step 5: Solve for x
    x = 496,339.47/601.98
  6. Step 6: Final answer
    x = 824.51

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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.