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Finding the Fourth Proportional to 961.87, 1,326.27 and 821.56

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Solution

The fourth proportional to 961.87, 1,326.27 and 821.56 is: 1,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.87 : 1,326.27 = 821.56 : x
  2. Step 2: Convert to fraction form
    961.87/1,326.27 = 821.56/x
  3. Step 3: Cross multiply
    961.87x = 1,326.27 × 821.56
  4. Step 4: Simplify right side
    961.87x = 1,089,610.38
  5. Step 5: Solve for x
    x = 1,089,610.38/961.87
  6. Step 6: Final answer
    x = 1,132.80

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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.