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Finding the Fourth Proportional to 424.05, 584.82 and 326.04

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Solution

The fourth proportional to 424.05, 584.82 and 326.04 is: 449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.05 : 584.82 = 326.04 : x
  2. Step 2: Convert to fraction form
    424.05/584.82 = 326.04/x
  3. Step 3: Cross multiply
    424.05x = 584.82 × 326.04
  4. Step 4: Simplify right side
    424.05x = 190,674.71
  5. Step 5: Solve for x
    x = 190,674.71/424.05
  6. Step 6: Final answer
    x = 449.65

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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.