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Finding the Fourth Proportional to 809.60, 1,115.73 and 557.60

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Solution

The fourth proportional to 809.60, 1,115.73 and 557.60 is: 768.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.60 : 1,115.73 = 557.60 : x
  2. Step 2: Convert to fraction form
    809.60/1,115.73 = 557.60/x
  3. Step 3: Cross multiply
    809.60x = 1,115.73 × 557.60
  4. Step 4: Simplify right side
    809.60x = 622,131.05
  5. Step 5: Solve for x
    x = 622,131.05/809.60
  6. Step 6: Final answer
    x = 768.44

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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.