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Finding the Fourth Proportional to 424.25, 581.07 and 399.34

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Solution

The fourth proportional to 424.25, 581.07 and 399.34 is: 546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.25 : 581.07 = 399.34 : x
  2. Step 2: Convert to fraction form
    424.25/581.07 = 399.34/x
  3. Step 3: Cross multiply
    424.25x = 581.07 × 399.34
  4. Step 4: Simplify right side
    424.25x = 232,044.49
  5. Step 5: Solve for x
    x = 232,044.49/424.25
  6. Step 6: Final answer
    x = 546.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.