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Finding the Fourth Proportional to 822.75, 1,135.38 and 491.25

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Solution

The fourth proportional to 822.75, 1,135.38 and 491.25 is: 677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.75 : 1,135.38 = 491.25 : x
  2. Step 2: Convert to fraction form
    822.75/1,135.38 = 491.25/x
  3. Step 3: Cross multiply
    822.75x = 1,135.38 × 491.25
  4. Step 4: Simplify right side
    822.75x = 557,755.43
  5. Step 5: Solve for x
    x = 557,755.43/822.75
  6. Step 6: Final answer
    x = 677.92

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Double scale
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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.