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Finding the Fourth Proportional to 1,191.71, 1,644.26 and 719.24

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Solution

The fourth proportional to 1,191.71, 1,644.26 and 719.24 is: 992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.71 : 1,644.26 = 719.24 : x
  2. Step 2: Convert to fraction form
    1,191.71/1,644.26 = 719.24/x
  3. Step 3: Cross multiply
    1,191.71x = 1,644.26 × 719.24
  4. Step 4: Simplify right side
    1,191.71x = 1,182,605.74
  5. Step 5: Solve for x
    x = 1,182,605.74/1,191.71
  6. Step 6: Final answer
    x = 992.36

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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.