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Finding the Fourth Proportional to 437.59, 655.75 and 329.46

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Solution

The fourth proportional to 437.59, 655.75 and 329.46 is: 493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.59 : 655.75 = 329.46 : x
  2. Step 2: Convert to fraction form
    437.59/655.75 = 329.46/x
  3. Step 3: Cross multiply
    437.59x = 655.75 × 329.46
  4. Step 4: Simplify right side
    437.59x = 216,043.40
  5. Step 5: Solve for x
    x = 216,043.40/437.59
  6. Step 6: Final answer
    x = 493.71

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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.