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Finding the Fourth Proportional to 829.59, 1,146.06 and 643.56

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Solution

The fourth proportional to 829.59, 1,146.06 and 643.56 is: 889.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.59 : 1,146.06 = 643.56 : x
  2. Step 2: Convert to fraction form
    829.59/1,146.06 = 643.56/x
  3. Step 3: Cross multiply
    829.59x = 1,146.06 × 643.56
  4. Step 4: Simplify right side
    829.59x = 737,558.37
  5. Step 5: Solve for x
    x = 737,558.37/829.59
  6. Step 6: Final answer
    x = 889.06

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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.