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Finding the Fourth Proportional to 753.82, 1,135.25 and 663.51

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Solution

The fourth proportional to 753.82, 1,135.25 and 663.51 is: 999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.82 : 1,135.25 = 663.51 : x
  2. Step 2: Convert to fraction form
    753.82/1,135.25 = 663.51/x
  3. Step 3: Cross multiply
    753.82x = 1,135.25 × 663.51
  4. Step 4: Simplify right side
    753.82x = 753,249.73
  5. Step 5: Solve for x
    x = 753,249.73/753.82
  6. Step 6: Final answer
    x = 999.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.