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Finding the Fourth Proportional to 822.96, 1,133.82 and 675.36

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Solution

The fourth proportional to 822.96, 1,133.82 and 675.36 is: 930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.96 : 1,133.82 = 675.36 : x
  2. Step 2: Convert to fraction form
    822.96/1,133.82 = 675.36/x
  3. Step 3: Cross multiply
    822.96x = 1,133.82 × 675.36
  4. Step 4: Simplify right side
    822.96x = 765,736.68
  5. Step 5: Solve for x
    x = 765,736.68/822.96
  6. Step 6: Final answer
    x = 930.47

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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.