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Finding the Fourth Proportional to 468.34, 642.29 and 462.94

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Solution

The fourth proportional to 468.34, 642.29 and 462.94 is: 634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.34 : 642.29 = 462.94 : x
  2. Step 2: Convert to fraction form
    468.34/642.29 = 462.94/x
  3. Step 3: Cross multiply
    468.34x = 642.29 × 462.94
  4. Step 4: Simplify right side
    468.34x = 297,337.81
  5. Step 5: Solve for x
    x = 297,337.81/468.34
  6. Step 6: Final answer
    x = 634.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.