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Finding the Fourth Proportional to 1,206.92, 1,818.68 and 995.24

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Solution

The fourth proportional to 1,206.92, 1,818.68 and 995.24 is: 1,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.92 : 1,818.68 = 995.24 : x
  2. Step 2: Convert to fraction form
    1,206.92/1,818.68 = 995.24/x
  3. Step 3: Cross multiply
    1,206.92x = 1,818.68 × 995.24
  4. Step 4: Simplify right side
    1,206.92x = 1,810,023.08
  5. Step 5: Solve for x
    x = 1,810,023.08/1,206.92
  6. Step 6: Final answer
    x = 1,499.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.