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Finding the Fourth Proportional to 829.96, 1,144.68 and 643.48

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Solution

The fourth proportional to 829.96, 1,144.68 and 643.48 is: 887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.96 : 1,144.68 = 643.48 : x
  2. Step 2: Convert to fraction form
    829.96/1,144.68 = 643.48/x
  3. Step 3: Cross multiply
    829.96x = 1,144.68 × 643.48
  4. Step 4: Simplify right side
    829.96x = 736,578.69
  5. Step 5: Solve for x
    x = 736,578.69/829.96
  6. Step 6: Final answer
    x = 887.49

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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.