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Finding the Fourth Proportional to 1,191.93, 1,648.80 and 995.10

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Solution

The fourth proportional to 1,191.93, 1,648.80 and 995.10 is: 1,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.93 : 1,648.80 = 995.10 : x
  2. Step 2: Convert to fraction form
    1,191.93/1,648.80 = 995.10/x
  3. Step 3: Cross multiply
    1,191.93x = 1,648.80 × 995.10
  4. Step 4: Simplify right side
    1,191.93x = 1,640,720.88
  5. Step 5: Solve for x
    x = 1,640,720.88/1,191.93
  6. Step 6: Final answer
    x = 1,376.52

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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.