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Finding the Fourth Proportional to 468.62, 647.70 and 351.98

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Solution

The fourth proportional to 468.62, 647.70 and 351.98 is: 486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.62 : 647.70 = 351.98 : x
  2. Step 2: Convert to fraction form
    468.62/647.70 = 351.98/x
  3. Step 3: Cross multiply
    468.62x = 647.70 × 351.98
  4. Step 4: Simplify right side
    468.62x = 227,977.45
  5. Step 5: Solve for x
    x = 227,977.45/468.62
  6. Step 6: Final answer
    x = 486.49

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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.