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Finding the Fourth Proportional to 1,191.96, 1,645.26 and 930.36

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Solution

The fourth proportional to 1,191.96, 1,645.26 and 930.36 is: 1,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.96 : 1,645.26 = 930.36 : x
  2. Step 2: Convert to fraction form
    1,191.96/1,645.26 = 930.36/x
  3. Step 3: Cross multiply
    1,191.96x = 1,645.26 × 930.36
  4. Step 4: Simplify right side
    1,191.96x = 1,530,684.09
  5. Step 5: Solve for x
    x = 1,530,684.09/1,191.96
  6. Step 6: Final answer
    x = 1,284.17

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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.