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Finding the Fourth Proportional to 427.58, 637.92 and 381.42

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Solution

The fourth proportional to 427.58, 637.92 and 381.42 is: 569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.58 : 637.92 = 381.42 : x
  2. Step 2: Convert to fraction form
    427.58/637.92 = 381.42/x
  3. Step 3: Cross multiply
    427.58x = 637.92 × 381.42
  4. Step 4: Simplify right side
    427.58x = 243,315.45
  5. Step 5: Solve for x
    x = 243,315.45/427.58
  6. Step 6: Final answer
    x = 569.05

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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.