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Finding the Fourth Proportional to 424.20, 584.69 and 325.98

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Solution

The fourth proportional to 424.20, 584.69 and 325.98 is: 449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.20 : 584.69 = 325.98 : x
  2. Step 2: Convert to fraction form
    424.20/584.69 = 325.98/x
  3. Step 3: Cross multiply
    424.20x = 584.69 × 325.98
  4. Step 4: Simplify right side
    424.20x = 190,597.25
  5. Step 5: Solve for x
    x = 190,597.25/424.20
  6. Step 6: Final answer
    x = 449.31

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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.