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Finding the Fourth Proportional to 494.23, 740.32 and 329.17

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Solution

The fourth proportional to 494.23, 740.32 and 329.17 is: 493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.23 : 740.32 = 329.17 : x
  2. Step 2: Convert to fraction form
    494.23/740.32 = 329.17/x
  3. Step 3: Cross multiply
    494.23x = 740.32 × 329.17
  4. Step 4: Simplify right side
    494.23x = 243,691.13
  5. Step 5: Solve for x
    x = 243,691.13/494.23
  6. Step 6: Final answer
    x = 493.07

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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.