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Finding the Fourth Proportional to 493.62, 681.52 and 328.06

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Solution

The fourth proportional to 493.62, 681.52 and 328.06 is: 452.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.62 : 681.52 = 328.06 : x
  2. Step 2: Convert to fraction form
    493.62/681.52 = 328.06/x
  3. Step 3: Cross multiply
    493.62x = 681.52 × 328.06
  4. Step 4: Simplify right side
    493.62x = 223,579.45
  5. Step 5: Solve for x
    x = 223,579.45/493.62
  6. Step 6: Final answer
    x = 452.94

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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.