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Finding the Fourth Proportional to 1,222.57, 1,829.84 and 666.43

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Solution

The fourth proportional to 1,222.57, 1,829.84 and 666.43 is: 997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.57 : 1,829.84 = 666.43 : x
  2. Step 2: Convert to fraction form
    1,222.57/1,829.84 = 666.43/x
  3. Step 3: Cross multiply
    1,222.57x = 1,829.84 × 666.43
  4. Step 4: Simplify right side
    1,222.57x = 1,219,456.11
  5. Step 5: Solve for x
    x = 1,219,456.11/1,222.57
  6. Step 6: Final answer
    x = 997.45

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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.