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Finding the Fourth Proportional to 1,189.96, 1,642.44 and 718

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Solution

The fourth proportional to 1,189.96, 1,642.44 and 718 is: 991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.96 : 1,642.44 = 718 : x
  2. Step 2: Convert to fraction form
    1,189.96/1,642.44 = 718/x
  3. Step 3: Cross multiply
    1,189.96x = 1,642.44 × 718
  4. Step 4: Simplify right side
    1,189.96x = 1,179,271.92
  5. Step 5: Solve for x
    x = 1,179,271.92/1,189.96
  6. Step 6: Final answer
    x = 991.02

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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.