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Finding the Fourth Proportional to 468.72, 647.09 and 363.58

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Solution

The fourth proportional to 468.72, 647.09 and 363.58 is: 501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.72 : 647.09 = 363.58 : x
  2. Step 2: Convert to fraction form
    468.72/647.09 = 363.58/x
  3. Step 3: Cross multiply
    468.72x = 647.09 × 363.58
  4. Step 4: Simplify right side
    468.72x = 235,265.55
  5. Step 5: Solve for x
    x = 235,265.55/468.72
  6. Step 6: Final answer
    x = 501.93

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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.