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Finding the Fourth Proportional to 719.74, 991.97 and 619.90

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Solution

The fourth proportional to 719.74, 991.97 and 619.90 is: 854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.74 : 991.97 = 619.90 : x
  2. Step 2: Convert to fraction form
    719.74/991.97 = 619.90/x
  3. Step 3: Cross multiply
    719.74x = 991.97 × 619.90
  4. Step 4: Simplify right side
    719.74x = 614,919.10
  5. Step 5: Solve for x
    x = 614,919.10/719.74
  6. Step 6: Final answer
    x = 854.36

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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.