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Finding the Fourth Proportional to 1,021.96, 1,410.38 and 573.88

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Solution

The fourth proportional to 1,021.96, 1,410.38 and 573.88 is: 791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.96 : 1,410.38 = 573.88 : x
  2. Step 2: Convert to fraction form
    1,021.96/1,410.38 = 573.88/x
  3. Step 3: Cross multiply
    1,021.96x = 1,410.38 × 573.88
  4. Step 4: Simplify right side
    1,021.96x = 809,382.48
  5. Step 5: Solve for x
    x = 809,382.48/1,021.96
  6. Step 6: Final answer
    x = 791.99

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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.