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Finding the Fourth Proportional to 434.19, 648.34 and 382.42

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Solution

The fourth proportional to 434.19, 648.34 and 382.42 is: 571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.19 : 648.34 = 382.42 : x
  2. Step 2: Convert to fraction form
    434.19/648.34 = 382.42/x
  3. Step 3: Cross multiply
    434.19x = 648.34 × 382.42
  4. Step 4: Simplify right side
    434.19x = 247,938.04
  5. Step 5: Solve for x
    x = 247,938.04/434.19
  6. Step 6: Final answer
    x = 571.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.