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Finding the Fourth Proportional to 719.58, 991.97 and 509.11

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Solution

The fourth proportional to 719.58, 991.97 and 509.11 is: 701.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.58 : 991.97 = 509.11 : x
  2. Step 2: Convert to fraction form
    719.58/991.97 = 509.11/x
  3. Step 3: Cross multiply
    719.58x = 991.97 × 509.11
  4. Step 4: Simplify right side
    719.58x = 505,016.82
  5. Step 5: Solve for x
    x = 505,016.82/719.58
  6. Step 6: Final answer
    x = 701.82

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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.