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Finding the Fourth Proportional to 719.37, 991.60 and 601.73

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Solution

The fourth proportional to 719.37, 991.60 and 601.73 is: 829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.37 : 991.60 = 601.73 : x
  2. Step 2: Convert to fraction form
    719.37/991.60 = 601.73/x
  3. Step 3: Cross multiply
    719.37x = 991.60 × 601.73
  4. Step 4: Simplify right side
    719.37x = 596,675.47
  5. Step 5: Solve for x
    x = 596,675.47/719.37
  6. Step 6: Final answer
    x = 829.44

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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.