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Finding the Fourth Proportional to 424.35, 584.49 and 325.92

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Solution

The fourth proportional to 424.35, 584.49 and 325.92 is: 448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.35 : 584.49 = 325.92 : x
  2. Step 2: Convert to fraction form
    424.35/584.49 = 325.92/x
  3. Step 3: Cross multiply
    424.35x = 584.49 × 325.92
  4. Step 4: Simplify right side
    424.35x = 190,496.98
  5. Step 5: Solve for x
    x = 190,496.98/424.35
  6. Step 6: Final answer
    x = 448.91

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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.