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Finding the Fourth Proportional to 872.76, 1,204.41 and 518.70

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Solution

The fourth proportional to 872.76, 1,204.41 and 518.70 is: 715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.76 : 1,204.41 = 518.70 : x
  2. Step 2: Convert to fraction form
    872.76/1,204.41 = 518.70/x
  3. Step 3: Cross multiply
    872.76x = 1,204.41 × 518.70
  4. Step 4: Simplify right side
    872.76x = 624,727.47
  5. Step 5: Solve for x
    x = 624,727.47/872.76
  6. Step 6: Final answer
    x = 715.81

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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.