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Finding the Fourth Proportional to 1,192.30, 1,641.78 and 995.46

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Solution

The fourth proportional to 1,192.30, 1,641.78 and 995.46 is: 1,370.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.30 : 1,641.78 = 995.46 : x
  2. Step 2: Convert to fraction form
    1,192.30/1,641.78 = 995.46/x
  3. Step 3: Cross multiply
    1,192.30x = 1,641.78 × 995.46
  4. Step 4: Simplify right side
    1,192.30x = 1,634,326.32
  5. Step 5: Solve for x
    x = 1,634,326.32/1,192.30
  6. Step 6: Final answer
    x = 1,370.73

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1.5x scale

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.