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Finding the Fourth Proportional to 494.69, 740.49 and 330.29

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Solution

The fourth proportional to 494.69, 740.49 and 330.29 is: 494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.69 : 740.49 = 330.29 : x
  2. Step 2: Convert to fraction form
    494.69/740.49 = 330.29/x
  3. Step 3: Cross multiply
    494.69x = 740.49 × 330.29
  4. Step 4: Simplify right side
    494.69x = 244,574.79
  5. Step 5: Solve for x
    x = 244,574.79/494.69
  6. Step 6: Final answer
    x = 494.40

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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.