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Finding the Fourth Proportional to 1,100, 1,650.82 and 716.06

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Solution

The fourth proportional to 1,100, 1,650.82 and 716.06 is: 1,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100 : 1,650.82 = 716.06 : x
  2. Step 2: Convert to fraction form
    1,100/1,650.82 = 716.06/x
  3. Step 3: Cross multiply
    1,100x = 1,650.82 × 716.06
  4. Step 4: Simplify right side
    1,100x = 1,182,086.17
  5. Step 5: Solve for x
    x = 1,182,086.17/1,100
  6. Step 6: Final answer
    x = 1,074.62

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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.