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Finding the Fourth Proportional to 484.69, 729.70 and 427.24

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Solution

The fourth proportional to 484.69, 729.70 and 427.24 is: 643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.69 : 729.70 = 427.24 : x
  2. Step 2: Convert to fraction form
    484.69/729.70 = 427.24/x
  3. Step 3: Cross multiply
    484.69x = 729.70 × 427.24
  4. Step 4: Simplify right side
    484.69x = 311,755.96
  5. Step 5: Solve for x
    x = 311,755.96/484.69
  6. Step 6: Final answer
    x = 643.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.