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Finding the Fourth Proportional to 762.62, 1,136.43 and 716.45

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Solution

The fourth proportional to 762.62, 1,136.43 and 716.45 is: 1,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.62 : 1,136.43 = 716.45 : x
  2. Step 2: Convert to fraction form
    762.62/1,136.43 = 716.45/x
  3. Step 3: Cross multiply
    762.62x = 1,136.43 × 716.45
  4. Step 4: Simplify right side
    762.62x = 814,189.59
  5. Step 5: Solve for x
    x = 814,189.59/762.62
  6. Step 6: Final answer
    x = 1,067.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.