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Finding the Fourth Proportional to 424.73, 586.09 and 325.21

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Solution

The fourth proportional to 424.73, 586.09 and 325.21 is: 448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.73 : 586.09 = 325.21 : x
  2. Step 2: Convert to fraction form
    424.73/586.09 = 325.21/x
  3. Step 3: Cross multiply
    424.73x = 586.09 × 325.21
  4. Step 4: Simplify right side
    424.73x = 190,602.33
  5. Step 5: Solve for x
    x = 190,602.33/424.73
  6. Step 6: Final answer
    x = 448.76

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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.