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Finding the Fourth Proportional to 1,190.71, 1,642.92 and 718.68

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Solution

The fourth proportional to 1,190.71, 1,642.92 and 718.68 is: 991.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.71 : 1,642.92 = 718.68 : x
  2. Step 2: Convert to fraction form
    1,190.71/1,642.92 = 718.68/x
  3. Step 3: Cross multiply
    1,190.71x = 1,642.92 × 718.68
  4. Step 4: Simplify right side
    1,190.71x = 1,180,737.21
  5. Step 5: Solve for x
    x = 1,180,737.21/1,190.71
  6. Step 6: Final answer
    x = 991.62

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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.