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Finding the Fourth Proportional to 666.20, 997.68 and 376.76

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Solution

The fourth proportional to 666.20, 997.68 and 376.76 is: 564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.20 : 997.68 = 376.76 : x
  2. Step 2: Convert to fraction form
    666.20/997.68 = 376.76/x
  3. Step 3: Cross multiply
    666.20x = 997.68 × 376.76
  4. Step 4: Simplify right side
    666.20x = 375,885.92
  5. Step 5: Solve for x
    x = 375,885.92/666.20
  6. Step 6: Final answer
    x = 564.22

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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.