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Finding the Fourth Proportional to 1,166.82, 1,749.78 and 436.23

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Solution

The fourth proportional to 1,166.82, 1,749.78 and 436.23 is: 654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.82 : 1,749.78 = 436.23 : x
  2. Step 2: Convert to fraction form
    1,166.82/1,749.78 = 436.23/x
  3. Step 3: Cross multiply
    1,166.82x = 1,749.78 × 436.23
  4. Step 4: Simplify right side
    1,166.82x = 763,306.53
  5. Step 5: Solve for x
    x = 763,306.53/1,166.82
  6. Step 6: Final answer
    x = 654.18

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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.