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Finding the Fourth Proportional to 424.19, 638.96 and 385.92

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Solution

The fourth proportional to 424.19, 638.96 and 385.92 is: 581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.19 : 638.96 = 385.92 : x
  2. Step 2: Convert to fraction form
    424.19/638.96 = 385.92/x
  3. Step 3: Cross multiply
    424.19x = 638.96 × 385.92
  4. Step 4: Simplify right side
    424.19x = 246,585.51
  5. Step 5: Solve for x
    x = 246,585.51/424.19
  6. Step 6: Final answer
    x = 581.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.