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Finding the Fourth Proportional to 427.39, 637.66 and 381.22

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Solution

The fourth proportional to 427.39, 637.66 and 381.22 is: 568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.39 : 637.66 = 381.22 : x
  2. Step 2: Convert to fraction form
    427.39/637.66 = 381.22/x
  3. Step 3: Cross multiply
    427.39x = 637.66 × 381.22
  4. Step 4: Simplify right side
    427.39x = 243,088.75
  5. Step 5: Solve for x
    x = 243,088.75/427.39
  6. Step 6: Final answer
    x = 568.77

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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.