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Finding the Fourth Proportional to 1,173.20, 1,615.32 and 995.81

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Solution

The fourth proportional to 1,173.20, 1,615.32 and 995.81 is: 1,371.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.20 : 1,615.32 = 995.81 : x
  2. Step 2: Convert to fraction form
    1,173.20/1,615.32 = 995.81/x
  3. Step 3: Cross multiply
    1,173.20x = 1,615.32 × 995.81
  4. Step 4: Simplify right side
    1,173.20x = 1,608,551.81
  5. Step 5: Solve for x
    x = 1,608,551.81/1,173.20
  6. Step 6: Final answer
    x = 1,371.08

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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.