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Finding the Fourth Proportional to 1,108.57, 1,662.31 and 646.46

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Solution

The fourth proportional to 1,108.57, 1,662.31 and 646.46 is: 969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.57 : 1,662.31 = 646.46 : x
  2. Step 2: Convert to fraction form
    1,108.57/1,662.31 = 646.46/x
  3. Step 3: Cross multiply
    1,108.57x = 1,662.31 × 646.46
  4. Step 4: Simplify right side
    1,108.57x = 1,074,619.46
  5. Step 5: Solve for x
    x = 1,074,619.46/1,108.57
  6. Step 6: Final answer
    x = 969.38

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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.