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Finding the Fourth Proportional to 382.87, 572.06 and 283.62

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Solution

The fourth proportional to 382.87, 572.06 and 283.62 is: 423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.87 : 572.06 = 283.62 : x
  2. Step 2: Convert to fraction form
    382.87/572.06 = 283.62/x
  3. Step 3: Cross multiply
    382.87x = 572.06 × 283.62
  4. Step 4: Simplify right side
    382.87x = 162,247.66
  5. Step 5: Solve for x
    x = 162,247.66/382.87
  6. Step 6: Final answer
    x = 423.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.