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Finding the Fourth Proportional to 1,214.70, 1,820.82 and 665.76

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Solution

The fourth proportional to 1,214.70, 1,820.82 and 665.76 is: 997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.70 : 1,820.82 = 665.76 : x
  2. Step 2: Convert to fraction form
    1,214.70/1,820.82 = 665.76/x
  3. Step 3: Cross multiply
    1,214.70x = 1,820.82 × 665.76
  4. Step 4: Simplify right side
    1,214.70x = 1,212,229.12
  5. Step 5: Solve for x
    x = 1,212,229.12/1,214.70
  6. Step 6: Final answer
    x = 997.97

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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.