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Finding the Fourth Proportional to 1,191.65, 1,643.90 and 719.56

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Solution

The fourth proportional to 1,191.65, 1,643.90 and 719.56 is: 992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.65 : 1,643.90 = 719.56 : x
  2. Step 2: Convert to fraction form
    1,191.65/1,643.90 = 719.56/x
  3. Step 3: Cross multiply
    1,191.65x = 1,643.90 × 719.56
  4. Step 4: Simplify right side
    1,191.65x = 1,182,884.68
  5. Step 5: Solve for x
    x = 1,182,884.68/1,191.65
  6. Step 6: Final answer
    x = 992.65

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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.