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Finding the Fourth Proportional to 638.42, 880.54 and 428.49

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Solution

The fourth proportional to 638.42, 880.54 and 428.49 is: 591.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.42 : 880.54 = 428.49 : x
  2. Step 2: Convert to fraction form
    638.42/880.54 = 428.49/x
  3. Step 3: Cross multiply
    638.42x = 880.54 × 428.49
  4. Step 4: Simplify right side
    638.42x = 377,301.51
  5. Step 5: Solve for x
    x = 377,301.51/638.42
  6. Step 6: Final answer
    x = 591.00

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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.