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Finding the Fourth Proportional to 719.78, 991.71 and 601.31

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Solution

The fourth proportional to 719.78, 991.71 and 601.31 is: 828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.78 : 991.71 = 601.31 : x
  2. Step 2: Convert to fraction form
    719.78/991.71 = 601.31/x
  3. Step 3: Cross multiply
    719.78x = 991.71 × 601.31
  4. Step 4: Simplify right side
    719.78x = 596,327.62
  5. Step 5: Solve for x
    x = 596,327.62/719.78
  6. Step 6: Final answer
    x = 828.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.