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Finding the Fourth Proportional to 662.06, 993.01 and 384.57

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Solution

The fourth proportional to 662.06, 993.01 and 384.57 is: 576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.06 : 993.01 = 384.57 : x
  2. Step 2: Convert to fraction form
    662.06/993.01 = 384.57/x
  3. Step 3: Cross multiply
    662.06x = 993.01 × 384.57
  4. Step 4: Simplify right side
    662.06x = 381,877.17
  5. Step 5: Solve for x
    x = 381,877.17/662.06
  6. Step 6: Final answer
    x = 576.80

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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.