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Finding the Fourth Proportional to 1,108, 1,663.26 and 646.12

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Solution

The fourth proportional to 1,108, 1,663.26 and 646.12 is: 969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108 : 1,663.26 = 646.12 : x
  2. Step 2: Convert to fraction form
    1,108/1,663.26 = 646.12/x
  3. Step 3: Cross multiply
    1,108x = 1,663.26 × 646.12
  4. Step 4: Simplify right side
    1,108x = 1,074,665.55
  5. Step 5: Solve for x
    x = 1,074,665.55/1,108
  6. Step 6: Final answer
    x = 969.91

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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.