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Finding the Fourth Proportional to 872.94, 1,309.41 and 385.65

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Solution

The fourth proportional to 872.94, 1,309.41 and 385.65 is: 578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.94 : 1,309.41 = 385.65 : x
  2. Step 2: Convert to fraction form
    872.94/1,309.41 = 385.65/x
  3. Step 3: Cross multiply
    872.94x = 1,309.41 × 385.65
  4. Step 4: Simplify right side
    872.94x = 504,973.97
  5. Step 5: Solve for x
    x = 504,973.97/872.94
  6. Step 6: Final answer
    x = 578.48

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.