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Finding the Fourth Proportional to 792.71, 1,091.45 and 719.81

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Solution

The fourth proportional to 792.71, 1,091.45 and 719.81 is: 991.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.71 : 1,091.45 = 719.81 : x
  2. Step 2: Convert to fraction form
    792.71/1,091.45 = 719.81/x
  3. Step 3: Cross multiply
    792.71x = 1,091.45 × 719.81
  4. Step 4: Simplify right side
    792.71x = 785,627.57
  5. Step 5: Solve for x
    x = 785,627.57/792.71
  6. Step 6: Final answer
    x = 991.07

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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.