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Finding the Fourth Proportional to 486.89, 729.95 and 332.43

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Solution

The fourth proportional to 486.89, 729.95 and 332.43 is: 498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.89 : 729.95 = 332.43 : x
  2. Step 2: Convert to fraction form
    486.89/729.95 = 332.43/x
  3. Step 3: Cross multiply
    486.89x = 729.95 × 332.43
  4. Step 4: Simplify right side
    486.89x = 242,657.28
  5. Step 5: Solve for x
    x = 242,657.28/486.89
  6. Step 6: Final answer
    x = 498.38

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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.