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Finding the Fourth Proportional to 995.20, 1,372.08 and 826.72

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Solution

The fourth proportional to 995.20, 1,372.08 and 826.72 is: 1,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.20 : 1,372.08 = 826.72 : x
  2. Step 2: Convert to fraction form
    995.20/1,372.08 = 826.72/x
  3. Step 3: Cross multiply
    995.20x = 1,372.08 × 826.72
  4. Step 4: Simplify right side
    995.20x = 1,134,325.98
  5. Step 5: Solve for x
    x = 1,134,325.98/995.20
  6. Step 6: Final answer
    x = 1,139.80

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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.