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Finding the Fourth Proportional to 486.48, 729.59 and 332.39

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Solution

The fourth proportional to 486.48, 729.59 and 332.39 is: 498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.48 : 729.59 = 332.39 : x
  2. Step 2: Convert to fraction form
    486.48/729.59 = 332.39/x
  3. Step 3: Cross multiply
    486.48x = 729.59 × 332.39
  4. Step 4: Simplify right side
    486.48x = 242,503.11
  5. Step 5: Solve for x
    x = 242,503.11/486.48
  6. Step 6: Final answer
    x = 498.49

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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.