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Finding the Fourth Proportional to 756.43, 1,043.74 and 491.23

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Solution

The fourth proportional to 756.43, 1,043.74 and 491.23 is: 677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.43 : 1,043.74 = 491.23 : x
  2. Step 2: Convert to fraction form
    756.43/1,043.74 = 491.23/x
  3. Step 3: Cross multiply
    756.43x = 1,043.74 × 491.23
  4. Step 4: Simplify right side
    756.43x = 512,716.40
  5. Step 5: Solve for x
    x = 512,716.40/756.43
  6. Step 6: Final answer
    x = 677.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.