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Finding the Fourth Proportional to 1,109.46, 1,663.51 and 475.48

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Solution

The fourth proportional to 1,109.46, 1,663.51 and 475.48 is: 712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.46 : 1,663.51 = 475.48 : x
  2. Step 2: Convert to fraction form
    1,109.46/1,663.51 = 475.48/x
  3. Step 3: Cross multiply
    1,109.46x = 1,663.51 × 475.48
  4. Step 4: Simplify right side
    1,109.46x = 790,965.73
  5. Step 5: Solve for x
    x = 790,965.73/1,109.46
  6. Step 6: Final answer
    x = 712.93

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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.