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Finding the Fourth Proportional to 494.35, 742.29 and 468.38

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Solution

The fourth proportional to 494.35, 742.29 and 468.38 is: 703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.35 : 742.29 = 468.38 : x
  2. Step 2: Convert to fraction form
    494.35/742.29 = 468.38/x
  3. Step 3: Cross multiply
    494.35x = 742.29 × 468.38
  4. Step 4: Simplify right side
    494.35x = 347,675.21
  5. Step 5: Solve for x
    x = 347,675.21/494.35
  6. Step 6: Final answer
    x = 703.29

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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.